What is the answer to log_{2x}(16)=2 ?

The answer to log_{2x}(16)=2 is x=2

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log_{2x}(16)=2

lo g_{2 x} (16) = 2

x = 2

Solution steps

lo g_{2 x} (16) = 2

Apply log rules

\frac{1}{lo g _{16} ( 2 x )} = 2

Multiply both sides by

lo g_{16} (2 x)

\frac{1}{lo g _{16} ( 2 x )} lo g_{16} (2 x) = 2 lo g_{16} (2 x)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{6} (x) + lo g_{6} (5 x - 1) = 1

lo g_{10} (3) + lo g_{10} (x - 7) = 1

lo g_{10} (x) = 1.5306

x, Z = x y + ln (x + y)

61 = lo g_{10} (\frac{100}{x})