What is the answer to log_{2}(x/6)=8 ?

The answer to log_{2}(x/6)=8 is x=1536

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log_{2}(x/6)=8

lo g_{2} (\frac{x}{6}) = 8

x = 1536

Solution steps

lo g_{2} (\frac{x}{6}) = 8

Apply log rules

\frac{x}{6} = 2^{8}

Multiply both sides by

6

\frac{x}{6} \cdot 6 = 2^{8} \cdot 6

Simplify

x = 1536

Verify Solutions:

x = 1536

True

The solution is

x = 1536

ln (3 x - 15) = 9

lo g_{5} (y) = - 2

(ln (x))^{2} = 2 ln (x)

y, lo g_{3} (y) = x

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