What is the answer to 2log_{x}(3)+log_{x}(9)=4 ?

The answer to 2log_{x}(3)+log_{x}(9)=4 is x=3

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2log_{x}(3)+log_{x}(9)=4

2 lo g_{x} (3) + lo g_{x} (9) = 4

x = 3

Solution steps

2 lo g_{x} (3) + lo g_{x} (9) = 4

Apply log rules

\frac{ln ( 3 ^{2} \cdot 9 )}{ln ( x )} = 4

Multiply both sides by

ln (x)

\frac{ln ( 3 ^{2} \cdot 9 )}{ln ( x )} ln (x) = 4 ln (x)

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

ln (x + 11) + ln (x - 4) = 2 ln (x)

ln (x^{7}) - ln (x^{3}) = 4

lo g_{10} (6 - 2 x) - lo g_{10} (x) = 2

lo g_{10} (t + 3) + lo g_{10} (t) = 1

lo g_{10} (x) + lo g_{10} (x - 4) = 1

What is the answer to 2log_{x}(3)+log_{x}(9)=4 ?
The answer to 2log_{x}(3)+log_{x}(9)=4 is x=3
Solve for x: 2log_{x}(3)+log_{x}(9)=4
The solution is x=3