What is the answer to log_{x}(1/10)=-1 ?

The answer to log_{x}(1/10)=-1 is x=10

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log_{x}(1/10)=-1

lo g_{x} (\frac{1}{10}) = - 1

x = 10

Solution steps

lo g_{x} (\frac{1}{10}) = - 1

Apply log rules

\frac{ln ( \frac{1}{10} )}{ln ( x )} = - 1

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{10} )}{ln ( x )} ln (x) = - 1 \cdot ln (x)

Apply log rules

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

lo g_{4} (3 x - 5) = 3

lo g_{4} (3 x - 5) = 2

ln (3.4 x + 2.8) - 1.9 = - 5.9

x, y = ln (3 x + 2)

6.8 = lo g_{10} (x)