Solving Exponential and Logarithmic Equations Assignment

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.

3x1 is not equal to 8 because its not

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

5

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

-2.415

Solve: log5x3 - logx2 = 2

20

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.

8

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

A

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

A E

Which equation is equivalent to log5x3 - logx2 = 2?

B

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

B 9x - 3 = 93

Consider 8x-4 = 810 Because the are equal , the must also be equal.

BASES EXPONENTS

Solve: e2x + 5 = 4

C

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

C

Solve: 9x - 3 = 729

X= 6

What is the solution to 2log5x = log54?

x = 2

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

x= 1/4