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
