Explanation
Step 1
[tex]a^b=c[/tex]also, by definition:
[tex]y=m^x\Rightarrow\log _m(y)=x[/tex]hence; identify
[tex]\begin{gathered} a^b=c\Rightarrow \\ so \\ y=c \\ a=m \\ b=x \end{gathered}[/tex]now, replace
[tex]\begin{gathered} y=m^x\Rightarrow\log _m(y)=x \\ c=a^b\Rightarrow\log _a(c)=b \end{gathered}[/tex]therefore, the answer is
[tex]\log _a(c)=b[/tex]I hope this helps you
