Suppose log2 a = 1.27 and log2 b = 3.73. Evaluate ab.

A) 32 B) 16 C) 8 D) 64 A) 32 B) 16 C) 8 D) 64

Exam 4: Exponential Functions, Logarithms, and E

Two earthquakes were registered the same day in a small south Pacific island, the first one with Richter magnitude 4.4 and the second one with Richter magnitude 3.9. Approximately how many times more intense was the first earthquake than the second one? Round your answer to the nearest tenth.

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(Short Answer)

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Question 1

Correct Answer:

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3.2

Evaluate the indicated expression.

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(Multiple Choice)

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Question 2

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What is the area of the region under the curve , above the x-axis, and between the lines x = 1 and x = e¹¹.

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Question 3

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How many more times intense is an earthquake with Richter magnitude 5 than an earthquake with Richter magnitude 4?

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Question 4

Evaluate the indicated expression.

(Multiple Choice)

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Question 5

An object with brightness b has apparent magnitude $\frac{2}{5}log\left(\frac{b_0}{b}\right)$ , where b0 is the brightness of an object with magnitude 0.

(True/False)

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Question 6

Evaluate log₃(x⁴y⁶) assuming that log₃x = 9.1 and log₃y = 4.5.

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Question 7

Find a number x such that . Round your answer to two decimal places.

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Question 8

The function $f(x) = 10log\left(\frac{x}{x_0}\right)$ can be used to determine the decibels of a sound with intensity x, where x0 is the intensity of an extremely quiet sound at the threshold of human hearing.

(True/False)

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Question 9

Find a formula for the inverse function of the indicated function f.

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Question 10

Suppose log₂ a = 1.27 and log₂ b = 3.73. Evaluate ab.

(Multiple Choice)

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Question 11

Find all numbers x that satisfy the equation . Round your answer to two decimal places.

(Short Answer)

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Question 12

Suppose you scream at 80 decibels and whisper at 30 decibels. What is the ratio of the sound intensity of your scream to the sound intensity of your whisper? Give your answer as a power of 10.

(Short Answer)

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Question 13

Given that 2¹⁰ $\approx$ 10³, determine which of the two numbers $Given that 210 \approx 103, determine which of the two numbers is larger.$ is larger.

(Short Answer)

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Question 14

For x = 12 and y = 13, evaluate each of the following. Round your answers to four decimal places. A) B)

(Short Answer)

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Question 15

Suppose m and n are positive integers such that log m $\approx$ 143.33 and log n $\approx$ 217.34. How many digits does mn have?

(Multiple Choice)

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Question 16

Find a number c such that

(Multiple Choice)

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Question 17

The Richter magnitude is a quantity of the form $log\left(\frac{S}{S_0}\right)$

(True/False)

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Question 18

Estimate the value of . Give the answer as a power of e.

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Question 19

Given that 2¹⁰ $\approx$ 10³, find the value of A such that $Given that 210 \approx 103, find the value of A such that .$ .

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Question 20

Showing 1 - 20 of 157

Two earthquakes were registered the same day in a small south Pacific island, the first one with Richter magnitude 4.4 and the second one with Richter magnitude 3.9. Approximately how many times more intense was the first earthquake than the second one? Round your answer to the nearest tenth.

Evaluate the indicated expression.

What is the area of the region under the curve , above the x-axis, and between the lines x = 1 and x = e¹¹.

How many more times intense is an earthquake with Richter magnitude 5 than an earthquake with Richter magnitude 4?

Evaluate the indicated expression.

An object with brightness b has apparent magnitude $\frac{2}{5}log\left(\frac{b_0}{b}\right)$ , where b0 is the brightness of an object with magnitude 0.

Evaluate log₃(x⁴y⁶) assuming that log₃x = 9.1 and log₃y = 4.5.

Find a number x such that . Round your answer to two decimal places.

The function $f(x) = 10log\left(\frac{x}{x_0}\right)$ can be used to determine the decibels of a sound with intensity x, where x0 is the intensity of an extremely quiet sound at the threshold of human hearing.

Find a formula for the inverse function of the indicated function f.

Suppose log₂ a = 1.27 and log₂ b = 3.73. Evaluate ab.

Find all numbers x that satisfy the equation . Round your answer to two decimal places.

Suppose you scream at 80 decibels and whisper at 30 decibels. What is the ratio of the sound intensity of your scream to the sound intensity of your whisper? Give your answer as a power of 10.

Given that 2¹⁰ $\approx$ 10³, determine which of the two numbers $Given that 2<sup>10</sup> \approx 10<sup>3</sup>, determine which of the two numbers is larger.$ is larger.

For x = 12 and y = 13, evaluate each of the following. Round your answers to four decimal places. A) B)

Suppose m and n are positive integers such that log m $\approx$ 143.33 and log n $\approx$ 217.34. How many digits does mn have?

Find a number c such that

The Richter magnitude is a quantity of the form $log\left(\frac{S}{S_0}\right)$

Estimate the value of . Give the answer as a power of e.

Given that 2¹⁰ $\approx$ 10³, find the value of A such that $Given that 2<sup>10</sup> \approx 10<sup>3</sup>, find the value of A such that .$ .

The Real Numbers

Functions and Their Graphs

Linear, Quadratic, Polynomial, and Rational Functions

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 4: Exponential Functions, Logarithms, and E

Two earthquakes were registered the same day in a small south Pacific island, the first one with Richter magnitude 4.4 and the second one with Richter magnitude 3.9. Approximately how many times more intense was the first earthquake than the second one? Round your answer to the nearest tenth.

Evaluate the indicated expression.

What is the area of the region under the curve , above the x-axis, and between the lines x = 1 and x = e11.

How many more times intense is an earthquake with Richter magnitude 5 than an earthquake with Richter magnitude 4?

Evaluate the indicated expression.

An object with brightness b has apparent magnitude 25log(b0b)\frac{2}{5}log\left(\frac{b_0}{b}\right)52​log(bb0​​) , where b0 is the brightness of an object with magnitude 0.

Evaluate log3(x4y6) assuming that log3x = 9.1 and log3y = 4.5.

Find a number x such that . Round your answer to two decimal places.

The function f(x)=10log(xx0)f(x) = 10log\left(\frac{x}{x_0}\right)f(x)=10log(x0​x​) can be used to determine the decibels of a sound with intensity x, where x0 is the intensity of an extremely quiet sound at the threshold of human hearing.

Find a formula for the inverse function of the indicated function f.

Suppose log2 a = 1.27 and log2 b = 3.73. Evaluate ab.

Find all numbers x that satisfy the equation . Round your answer to two decimal places.

Suppose you scream at 80 decibels and whisper at 30 decibels. What is the ratio of the sound intensity of your scream to the sound intensity of your whisper? Give your answer as a power of 10.

Given that 210 ≈\approx≈ 103, determine which of the two numbers is larger.

For x = 12 and y = 13, evaluate each of the following. Round your answers to four decimal places. A) B)

Suppose m and n are positive integers such that log m ≈\approx≈ 143.33 and log n ≈\approx≈ 217.34. How many digits does mn have?

Find a number c such that

The Richter magnitude is a quantity of the form log(SS0)log\left(\frac{S}{S_0}\right)log(S0​S​)

Estimate the value of . Give the answer as a power of e.

Given that 210 ≈\approx≈ 103, find the value of A such that .

The Real Numbers

Functions and Their Graphs

Linear, Quadratic, Polynomial, and Rational Functions

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

What is the area of the region under the curve , above the x-axis, and between the lines x = 1 and x = e¹¹.

An object with brightness b has apparent magnitude $\frac{2}{5}log\left(\frac{b_0}{b}\right)$ , where b0 is the brightness of an object with magnitude 0.

Evaluate log₃(x⁴y⁶) assuming that log₃x = 9.1 and log₃y = 4.5.

The function $f(x) = 10log\left(\frac{x}{x_0}\right)$ can be used to determine the decibels of a sound with intensity x, where x0 is the intensity of an extremely quiet sound at the threshold of human hearing.

Suppose log₂ a = 1.27 and log₂ b = 3.73. Evaluate ab.

Given that 2¹⁰ $\approx$ 10³, determine which of the two numbers $Given that 2<sup>10</sup> \approx 10<sup>3</sup>, determine which of the two numbers is larger.$ is larger.

Suppose m and n are positive integers such that log m $\approx$ 143.33 and log n $\approx$ 217.34. How many digits does mn have?

The Richter magnitude is a quantity of the form $log\left(\frac{S}{S_0}\right)$

Given that 2¹⁰ $\approx$ 10³, find the value of A such that $Given that 2<sup>10</sup> \approx 10<sup>3</sup>, find the value of A such that .$ .