Exponential equation

Find x, if 625 ^ x = 5

The equation is exponential because the unknown is in the exponential power of 625

Correct result:

x =  0.25

Solution:

$$\begin{gathered} 625^x=5 \\ 625=5^4 \\ (5^4{)}^x=5 \\ x\ln (625)=\ln (5) \\ x=\ln (5)\mathrm{/}\ln (625)={\displaystyle \frac{1}{4}}=0.25 \end{gathered}$$

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