What is the answer to log_{x}(1/625)=-4 ?

The answer to log_{x}(1/625)=-4 is x=5

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log_{x}(1/625)=-4

lo g_{x} (\frac{1}{625}) = - 4

x = 5

Solution steps

lo g_{x} (\frac{1}{625}) = - 4

Apply log rules

\frac{ln ( \frac{1}{625} )}{ln ( x )} = - 4

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{625} )}{ln ( x )} ln (x) = - 4 ln (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

ln (2 x - 1) = - 3

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

lo g_{10} (x - 1) = 0

lo g_{3} (x^{2} - 5 x + 9) = 2

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

What is the answer to log_{x}(1/625)=-4 ?
The answer to log_{x}(1/625)=-4 is x=5
Solve for x: log_{x}(1/625)=-4
The solution is x=5