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

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

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log_{2x}(4)=2

lo g_{2 x} (4) = 2

x = 1

Solution steps

lo g_{2 x} (4) = 2

Apply log rules

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

Multiply both sides by

lo g_{4} (2 x)

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

Apply log rules

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

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

2 lo g_{3} (y - 6) - lo g_{3} (y - 4) = 2

5 ln (8 x - 4) + 5 = 25

lo g_{3} ((x + 3) (x - 5)) = 2

ln (x + 2) + ln (x) = 0