What is the answer to (2log_{4}(x))-(log_{4}(9))=2 ?

The answer to (2log_{4}(x))-(log_{4}(9))=2 is x=12

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(2log_{4}(x))-(log_{4}(9))=2

(2 lo g_{4} (x)) - (lo g_{4} (9)) = 2

x = 12

Solution steps

(2 lo g_{4} (x)) - (lo g_{4} (9)) = 2

Move

lo g_{4} (9)

to the right side

2 lo g_{4} (x) = 2 + lo g_{4} (9)

Divide both sides by

2

lo g_{4} (x) = \frac{2 + lo g _{4} ( 9 )}{2}

Apply log rules

x = 12

Verify Solutions:

x = 12

True

The solution is

x = 12

ln (4 x + 1) = 6

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

lo g_{x} (25) = \frac{- 1}{2}

0.043 = 0.12 lo g_{10} (x)

ln (x) - ln (x - 6) = ln (3)

What is the answer to (2log_{4}(x))-(log_{4}(9))=2 ?
The answer to (2log_{4}(x))-(log_{4}(9))=2 is x=12
Solve for x: (2log_{4}(x))-(log_{4}(9))=2
The solution is x=12