What is the answer to -3=log_{x}(1/8) ?

The answer to -3=log_{x}(1/8) is x=2

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-3=log_{x}(1/8)

- 3 = lo g_{x} (\frac{1}{8})

x = 2

Solution steps

- 3 = lo g_{x} (\frac{1}{8})

Apply log rules

- 3 = \frac{ln ( \frac{1}{8} )}{ln ( x )}

Multiply both sides by

ln (x)

- 3 ln (x) = \frac{ln ( \frac{1}{8} )}{ln ( x )} ln (x)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

x, y = lo g_{g} (x)

80 = 20 lo g_{10} (G)

lo g_{10} (x) (100) = 2

lo g_{x} (16) = 8

lo g_{x} (15625) = 3