What is the answer to log_{2}(1-2x)=3 ?

The answer to log_{2}(1-2x)=3 is x=-7/2

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log_{2}(1-2x)=3

lo g_{2} (1 - 2 x) = 3

x = - \frac{7}{2}

Decimal

x = - 3.5

Solution steps

lo g_{2} (1 - 2 x) = 3

Apply log rules

1 - 2 x = 8

Solve

1 - 2 x = 8 : x = - \frac{7}{2}

x = - \frac{7}{2}

\frac{ln ( x )}{x} = 0

lo g_{25} (x) = - \frac{3}{2}

lo g_{8} (x) = \frac{1}{2}

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

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