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

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

Solve for y: 2log_{2}(y)=log_{4}(3)

The solution is y=2^{(log_{4}(3))/2}

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2 lo g_{2} (y) = lo g_{4} (3)

y = 2^{\frac{l o g _{4} ( 3 )}{2}}

Decimal Notation

y = 1.31607 \dots

Solution steps

2 lo g_{2} (y) = lo g_{4} (3)

Divide both sides by

2

lo g_{2} (y) = \frac{lo g _{4} ( 3 )}{2}

Apply log rules

y = 2^{\frac{l o g _{4} ( 3 )}{2}}

Verify Solutions:

y = 2^{\frac{l o g _{4} ( 3 )}{2}}

True

The solution is

y = 2^{\frac{l o g _{4} ( 3 )}{2}}

3 lo g_{2} (x + 1) - 2 = 13

30 = 20 lo g_{10} (\frac{x}{20})

x, y = \frac{ln ( x y )}{x}

ln (2^{x}) + x = 3

lo g_{10} (9 x) = \frac{3}{2}

What is the answer to 2log_{2}(y)=log_{4}(3) ?
The answer to 2log_{2}(y)=log_{4}(3) is y=2^{(log_{4}(3))/2}
Solve for y: 2log_{2}(y)=log_{4}(3)
The solution is y=2^{(log_{4}(3))/2}