What is the answer to log_{2}(x^2)=6 ?

The answer to log_{2}(x^2)=6 is x=8,x=-8

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log_{2}(x^2)=6

lo g_{2} (x^{2}) = 6

x = 8, x = - 8

Solution steps

lo g_{2} (x^{2}) = 6

Apply log rules

x^{2} = 64

Solve

x^{2} = 64 : x = 8, x = - 8

x = 8, x = - 8

2 lo g_{4} (x - 1) + lo g_{4} (x - 1) = 6

lo g_{2} (x - 3) + lo g_{2} (x + 4) = 3

2 ln (x) = ln (6 - x) + ln (3)

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

lo g_{x} (512) = 3