What is the answer to 4log_{2}(3/m)=8 ?

The answer to 4log_{2}(3/m)=8 is m= 3/4

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4log_{2}(3/m)=8

4 lo g_{2} (\frac{3}{m}) = 8

m = \frac{3}{4}

Decimal Notation

m = 0.75

Solution steps

4 lo g_{2} (\frac{3}{m}) = 8

Divide both sides by

4

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

Apply log rules

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

Multiply both sides by

m

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

Simplify

3 = 4 m

Solve

3 = 4 m : m = \frac{3}{4}

m = \frac{3}{4}

Verify Solutions:

m = \frac{3}{4}

True

The solution is

m = \frac{3}{4}

2 lo g_{3} (x) = lo g_{3} (18 - x)

ln (1 + 6 y - 2 y^{2}) = 0

ln (11.7 - 2.5 x) = x - 4

lo g_{4} (x + 7) = 3

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