Solve (2)log_{10}(1/10^-5)

$$( 2 ) \log _ { 10 } ( \frac { 1 } { 10 ^ { - 5 } } )$$

Evaluate

$$10$$

Solution Steps

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$2\log_{10}\left(\frac{1}{\frac{1}{100000}}\right)$$

Divide 1 by \frac{1}{100000} by multiplying 1 by the reciprocal of \frac{1}{100000}.

$$2\log_{10}\left(1\times 100000\right)$$

Multiply 1 and 100000 to get 100000.

$$2\log_{10}\left(100000\right)$$

The base 10 logarithm of 100000 is 5.

$$2\times 5$$

Multiply 2 and 5 to get 10.

$$10$$

Factor

$$2\times 5$$