What is the answer to 3log_{2}(3/x)=9 ?

The answer to 3log_{2}(3/x)=9 is x= 3/8

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3log_{2}(3/x)=9

3 lo g_{2} (\frac{3}{x}) = 9

x = \frac{3}{8}

Decimal Notation

x = 0.375

Solution steps

3 lo g_{2} (\frac{3}{x}) = 9

Divide both sides by

3

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

Apply log rules

\frac{3}{x} = 2^{3}

Multiply both sides by

x

\frac{3}{x} x = 2^{3} x

Simplify

3 = 8 x

Solve

3 = 8 x : x = \frac{3}{8}

x = \frac{3}{8}

Verify Solutions:

x = \frac{3}{8}

True

The solution is

x = \frac{3}{8}

a, b = ln (a)

lo g_{x} (9) = 14

20 + 6 ln (x - 2) = 36

lo g_{10} (x) = 13.7

155 = 40 lo g_{10} (500 t + 1)