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

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

Solve for x: 3log_{2}(x)=2log_{2}(3)

The solution is x=2^{(2log_{2}(3))/3}

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

x = 2^{\frac{2 l o g _{2} ( 3 )}{3}}

Decimal Notation

x = 2.08008 \dots

Solution steps

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

Divide both sides by

3

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

Apply log rules

x = 2^{\frac{2 l o g _{2} ( 3 )}{3}}

Verify Solutions:

x = 2^{\frac{2 l o g _{2} ( 3 )}{3}}

True

The solution is

x = 2^{\frac{2 l o g _{2} ( 3 )}{3}}

lo g_{10} (2 x - 4) = 2

ln (x) = \frac{3}{2}

lo g_{10} (x^{2} + 64) = 1

4 + lo g_{3} (- 2 x) = 5

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

What is the answer to 3log_{2}(x)=2log_{2}(3) ?
The answer to 3log_{2}(x)=2log_{2}(3) is x=2^{(2log_{2}(3))/3}
Solve for x: 3log_{2}(x)=2log_{2}(3)
The solution is x=2^{(2log_{2}(3))/3}