The exponential equation is:
[tex]10^{-2}=0.01[/tex]To express it in the logarithmic form we can use the next conversion:
[tex]b^y=x\Leftrightarrow\log _b(x)=y[/tex]Where b=10, y=-2 and x=0.01. By replacing these values we obtain:
[tex]10^{-2}=0.01\Leftrightarrow\log _{10}(0.01)=-2[/tex]