What is the answer to 4log_{2}(x)=3 ?

The answer to 4log_{2}(x)=3 is x=2^{3/4}

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4log_{2}(x)=3

4 lo g_{2} (x) = 3

x = 2^{\frac{3}{4}}

Decimal Notation

x = 1.68179 \dots

Solution steps

4 lo g_{2} (x) = 3

Divide both sides by

4

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

Apply log rules

x = 2^{\frac{3}{4}}

Verify Solutions:

x = 2^{\frac{3}{4}}

True

The solution is

x = 2^{\frac{3}{4}}

lo g_{5} (4 x + 7) - lo g_{5} (x) = 2

lo g_{10} (y) = (- 0.05085)

lo g_{2} ((r + 8)^{2}) = 4

8 lo g_{10} (n) - n = 0

ln (x - 10) = ln (8)