What is the answer to log_{x}(1/100)=-2 ?

The answer to log_{x}(1/100)=-2 is x=10

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log_{x}(1/100)=-2

lo g_{x} (\frac{1}{100}) = - 2

x = 10

Solution steps

lo g_{x} (\frac{1}{100}) = - 2

Apply log rules

\frac{ln ( \frac{1}{100} )}{ln ( x )} = - 2

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{100} )}{ln ( x )} ln (x) = - 2 ln (x)

Apply log rules

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

x e^{l n (x)} - 6 = 6 - x

lo g_{x} (2) + lo g_{2} (x) = 2.5

lo g_{x} (8) = 0.5

lo g_{x} (49) = lo g_{7} (343) - 1

9 = 10 lo g_{10} (x)

What is the answer to log_{x}(1/100)=-2 ?
The answer to log_{x}(1/100)=-2 is x=10
Solve for x: log_{x}(1/100)=-2
The solution is x=10