Question

What is the solution to the equation below? Round your answer to two decimal places.5x = 55A.x = 1.04B.x = 0.40C.x = 2.49D.x = 2.40

Answer 1

For this problem, we are given a certain equation and we need to solve it for x.

The expression:

`5^x=55`

We need to apply a logarithm to both sides:

`\log5^x=\log55`

We can now use the properties of the logarithm to isolate the x variable.

`\begin{gathered} x\log5=\log55\\ \\ x=(\log55)/(\log5)=2.49 \end{gathered}`

The correct answer is C. x = 2.49