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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

What Is The Solution To The Equation Below Round Your Answer To Two Decimal Places5x 55Ax 104Bx 040Cx 249Dx 240 class=

Sagot :

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

The expression:

[tex]5^x=55[/tex]

We need to apply a logarithm to both sides:

[tex]\log5^x=\log55[/tex]

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

[tex]\begin{gathered} x\log5=\log55\\ \\ x=\frac{\log55}{\log5}=2.49 \end{gathered}[/tex]

The correct answer is C. x = 2.49