Solve 92=40log_{10}({1/10^-12})

$$92 = 40 \log_{ 10 }({ \frac{ 1 }{ { 10 }^{ -12 } } })$$

Verify

Solution Steps

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$92=40\log_{10}\left(\frac{1}{\frac{1}{1000000000000}}\right)$$

Divide 1 by \frac{1}{1000000000000} by multiplying 1 by the reciprocal of \frac{1}{1000000000000}.

$$92=40\log_{10}\left(1\times 1000000000000\right)$$

Multiply 1 and 1000000000000 to get 1000000000000.

$$92=40\log_{10}\left(1000000000000\right)$$

The base 10 logarithm of 1000000000000 is 12.

$$92=40\times 12$$

Multiply 40 and 12 to get 480.

$$92=480$$

Compare 92 and 480.

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