What is the answer to log_{2a}(4)=2 ?

The answer to log_{2a}(4)=2 is a=1

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log_{2a}(4)=2

lo g_{2 a} (4) = 2

a = 1

Solution steps

lo g_{2 a} (4) = 2

Apply log rules

\frac{1}{lo g _{4} ( 2 a )} = 2

Multiply both sides by

lo g_{4} (2 a)

\frac{1}{lo g _{4} ( 2 a )} lo g_{4} (2 a) = 2 lo g_{4} (2 a)

Apply log rules

a = 1

Verify Solutions:

a = 1

True

The solution is

a = 1

lo g_{10} (x) + lo g_{10} (x + 3) = 2

lo g_{10} (x) \frac{1}{25} = - 2

0.367 = - lo g_{10} (x)

x, lo g_{x} (64) = - 2

3 lo g_{8} (x) - lo g_{x} (64) + 1 = 0