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

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

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

- 6 lo g_{4} (5 x) = - 12

lo g_{2} (lo g_{10} (2 x - 1)) = 1

ln (x^{4}) - ln (x^{2}) = 2

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