What is the answer to solvefor x,log_{x}(6x-9)=2 ?

The answer to solvefor x,log_{x}(6x-9)=2 is x=3

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solvefor x,log_{x}(6x-9)=2

solve for

x, lo g_{x} (6 x - 9) = 2

x = 3

Solution steps

lo g_{x} (6 x - 9) = 2

Apply log rules

\frac{ln ( 6 x - 9 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 6 x - 9 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (6 x - 9) = 2 ln (x)

Apply log rules

6 x - 9 = x^{2}

Solve

6 x - 9 = x^{2} : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{x} (81) + 2 lo g_{x} (729) = 16

ln (x) = 4.1

ln (x) + ln (x + 1) = ln (30)

lo g_{7} (3 x + 2) - lo g_{7} (x - 2) = 1

lo g_{b} (128) = 7

What is the answer to solvefor x,log_{x}(6x-9)=2 ?
The answer to solvefor x,log_{x}(6x-9)=2 is x=3