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

The answer to -1=log_{a}(1/2) is a=2

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-1=log_{a}(1/2)

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

a = 2

Solution steps

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

Apply log rules

- 1 = \frac{ln ( \frac{1}{2} )}{ln ( a )}

Multiply both sides by

ln (a)

- 1 \cdot ln (a) = \frac{ln ( \frac{1}{2} )}{ln ( a )} ln (a)

Apply log rules

a = 2

Verify Solutions:

a = 2

True

The solution is

a = 2

ln (x) (e) = 0

ln (4 - x) = 3

ln (x + 9) = 4

lo g_{4} (x) + lo g_{2} (4 x) = 5

lo g_{125} (a) = \frac{1}{3}