Solving Exponential and Logarithmic Equations Answers

What equation is equivalent to 9x - 3 = 729?

Solve: 9x - 3 = 729x =

To solve 5(2x + 4) = 15, first divide each side by .

Solve 5(2x + 4) = 15. Round to the nearest thousandth. ⇒ -2.415

Which of the following is the solution of 5e2x - 4 = 11?

Select all of the potential solution(s) of the equation 2log5x = log54.

What is the solution to 2log5x = log54? x =

Which equation is equivalent to log5x3 - logx2 = 2?

Solve: log5x3 - logx2 = 2 x =

What is the solution to ln (x2 - 16) = 0?

Solve: e2x + 5 = 4

Solve: ln 2x + ln 2 = 0x =

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Which did you include in your answer?

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number. years

Because the are equal , the must also be equal.

, the bases✔ exponentsequationsvariables must also be equal.

The solution to the equation is x = .