What is the answer to -2=log_{x}(1/25) ?

The answer to -2=log_{x}(1/25) is x=5

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-2=log_{x}(1/25)

- 2 = lo g_{x} (\frac{1}{25})

x = 5

Solution steps

- 2 = lo g_{x} (\frac{1}{25})

Apply log rules

- 2 = \frac{ln ( \frac{1}{25} )}{ln ( x )}

Multiply both sides by

ln (x)

- 2 ln (x) = \frac{ln ( \frac{1}{25} )}{ln ( x )} ln (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

lo g_{5} (4 x + 9) = 4

1 - ln^{2} (x) = 0

lo g_{4} (\frac{1}{4} x + 2) = 1

x, y = ln (x^{2})

c = 2 (ln (x) + x)