Question

Exponential equation in logarithmic form10-2=0.01

Answer 1

The exponential equation is:

`10^(-2)=0.01`

To express it in the logarithmic form we can use the next conversion:

`b^y=x\Leftrightarrow\log _b(x)=y`

Where b=10, y=-2 and x=0.01. By replacing these values we obtain:

`10^(-2)=0.01\Leftrightarrow\log _(10)(0.01)=-2`