What is the answer to log_{7}(1/x)=-3 ?

The answer to log_{7}(1/x)=-3 is x=343

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log_{7}(1/x)=-3

lo g_{7} (\frac{1}{x}) = - 3

x = 343

Solution steps

lo g_{7} (\frac{1}{x}) = - 3

Apply log rules

\frac{1}{x} = 7^{- 3}

Multiply both sides by

x

\frac{1}{x} x = 7^{- 3} x

Simplify

7^{- 3} x : \frac{1}{343} x

1 = \frac{1}{343} x

Solve

1 = \frac{1}{343} x : x = 343

x = 343

Verify Solutions:

x = 343

True

The solution is

x = 343

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20 \cdot lo g_{10} (x) = 0

ln (x + e) = 3