Respuesta :

we have the expression

[tex]a=10^k[/tex]

Applying log both sides

[tex]\begin{gathered} \log _{10}a=\log _{10}10^k \\ \log _{10}a=k\cdot\log _{10}10^{} \\ \log _{10}a=k\cdot1 \\ k=\log _{10}a^{} \end{gathered}[/tex]