What is the answer to log_{x}(1/3125)=-5 ?

The answer to log_{x}(1/3125)=-5 is x=5

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log_{x}(1/3125)=-5

lo g_{x} (\frac{1}{3125}) = - 5

x = 5

Solution steps

lo g_{x} (\frac{1}{3125}) = - 5

Apply log rules

\frac{ln ( \frac{1}{3125} )}{ln ( x )} = - 5

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{3125} )}{ln ( x )} ln (x) = - 5 ln (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

lo g_{9} (x) + lo g_{9} (x + 2) - \frac{1}{2} = 0

lo g_{a} (2) = 1

lo g_{2} (x + 2) = 0

lo g_{4} (4 x - 8) = 3

- lo g_{10} (x) = 2

What is the answer to log_{x}(1/3125)=-5 ?
The answer to log_{x}(1/3125)=-5 is x=5
Solve for x: log_{x}(1/3125)=-5
The solution is x=5