What is the answer to 1/2 log_{4}(x)=3log_{4}(3) ?

The answer to 1/2 log_{4}(x)=3log_{4}(3) is x=729

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1/2 log_{4}(x)=3log_{4}(3)

\frac{1}{2} lo g_{4} (x) = 3 lo g_{4} (3)

x = 729

Solution steps

\frac{1}{2} lo g_{4} (x) = 3 lo g_{4} (3)

Multiply both sides by

2

lo g_{4} (x) = 6 lo g_{4} (3)

Apply log rules

x = 729

Verify Solutions:

x = 729

True

The solution is

x = 729

lo g_{10} (x - 9) = 1

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

0 = lo g_{2} (x - 2)

ln (12 x^{2} + 12) - 3 = 0

2 x ln (x) + x

What is the answer to 1/2 log_{4}(x)=3log_{4}(3) ?
The answer to 1/2 log_{4}(x)=3log_{4}(3) is x=729
Solve for x: 1/2 log_{4}(x)=3log_{4}(3)
The solution is x=729