What is the answer to log_{2x}(64)=3 ?

The answer to log_{2x}(64)=3 is x=2

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log_{2x}(64)=3

lo g_{2 x} (64) = 3

x = 2

Solution steps

lo g_{2 x} (64) = 3

Apply log rules

\frac{1}{lo g _{64} ( 2 x )} = 3

Multiply both sides by

lo g_{64} (2 x)

\frac{1}{lo g _{64} ( 2 x )} lo g_{64} (2 x) = 3 lo g_{64} (2 x)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

7 - 3 ln (x) = 2

lo g_{10} (2 x - 1) = 0

ln (x^{2} - 2 x + \frac{7}{4}) = 0

282 = 122 lo g_{10} (0.8 x) + 85

ln (x) = 5.2339583