Exam 4: Exponential Functions, Logarithms, and E

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

Suppose that a bank account paying 6% interest per year, compounded 4 times per year, contains $7,733 at the end of 14 years. What was the initial amount deposited in the bank account? Round your answer to the nearest cent.

Estimate the indicated value without using a calculator.

Find a formula for the inverse function of the indicated function f. f(x) = 2^x

Find a number t such that Round your answer to five decimal places.

Find a formula for assuming that and g(x) = ln x .

Find the number c such that

Find all such numbers x such that $log\_|x| = 3$ holds.

Find a number c such that ln c = -8.

Suppose that a bank account that compounds interest continuously grows from $200 to $310 in three years. What annual interest rate is the bank paying? Round your answer to one decimal place.

Assuming that f is a function defined by f(x) = 3 + ln(x + 8). A) Find the domain of f. B) Find the range of f. C) Find a formula for f ^-1.

Find the inverse function.

Suppose a radioactive isotope is such that of the atoms in a sample decay after 6 years. How many years is the half-life of this isotope? Round your answer to the nearest tenth.

Suppose $900 is deposited in a bank account paying 1% interest per year, compounded 12 times per year. How much will be in the bank account at the end of 12 years? Round your answer to the nearest cent.

Suppose that a colony of bacteria starts with 50 cells and quadruples in size every 3 hours. Approximately how many cells will be in the colony after 2 hours?

Estimate the indicated value without using a calculator.

Evaluate assuming that log₇x = 11.3 and log₇y = 4.5.

Estimate the slope of the line containing the points (5, ln 5) and

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

Every function f with exponential growth can be represented by a formula of the form $f(x) = cb^x$ for appropriate choices of c and b.