Exam 12: Section 2: Exponential and Logarithmic Functions

Solve e^{x + 2} = 5.

Evaluate log_1/5(6). Round to four decimal places.

Write 3⁶ = 729 as a logarithmic equation.

Solve .

Solve log(x) = -4.

The number of grams of a radioactive substance in charcoal from an ancient campfire after t years is given by . If the sample has only 14 grams of radioactive substance, then when was the campfire used?

Rewrite log(75) in terms of log(3) and log(5).

Write log(64) in terms of log(4).

Let . Find h(2.3).

Let . Solve for x.

Solve log₁₂(x - 35) + log₁₂(x + 35) = 2.

Solve log₂(x² - 2) = 2 + log₂(x² + 8).

Graph .

Let . Find g(-2).

Simplify ln(e⁹).

Rewrite as a sum or difference of logarithms.

If $10,000 is deposited in an account paying 7% compounded quarterly, then what amount will be in the account after 8 years?

The level of sound in decibels (db) is given by the formula , where I is the sound intensity in watts per square meter. If the sound intensity of a jet airplane is 0.001 watts per square meter at a distance of 180 meters, what is the level of the sound at this point in db, rounded to the nearest tenth?

Graph .

Evaluate .