What is the answer to log_{a}(0.5)=0.2 ?

The answer to log_{a}(0.5)=0.2 is a= 1/32

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log_{a}(0.5)=0.2

lo g_{a} (0.5) = 0.2

a = \frac{1}{32}

Decimal

a = 0.03125

Solution steps

lo g_{a} (0.5) = 0.2

Apply log rules

\frac{1}{lo g _{0.5} ( a )} = 0.2

Multiply both sides by

lo g_{0.5} (a)

\frac{1}{lo g _{0.5} ( a )} lo g_{0.5} (a) = 0.2 lo g_{0.5} (a)

Apply log rules

a = \frac{1}{32}

Verify Solutions:

a = \frac{1}{32}

True

The solution is

a = \frac{1}{32}

lo g_{4} (x) + lo g_{4} (3 x - 1) = 1

lo g_{2} (x - 3) + 6 = 8

lo g_{7} (3 x - 2) = 2

lo g_{e} (x - 2) = 0

lo g_{2} (x + 12) = 2

What is the answer to log_{a}(0.5)=0.2 ?
The answer to log_{a}(0.5)=0.2 is a= 1/32
Solve for a: log_{a}(0.5)=0.2
The solution is a= 1/32