Evaluate log5/2 10. Round your answer to two decimal places.Show work.

If we have:
[tex]x=\log _{\frac{5}{2}}10[/tex]We know that:
[tex]\begin{gathered} (\frac{5}{2})^x=10 \\ 2.5^x=10 \end{gathered}[/tex]The value for x that satisfy this euqation is 2.51