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

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

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log_{3}(x-6)=log_{9}(x)

lo g_{3} (x - 6) = lo g_{9} (x)

x = 9

Solution steps

lo g_{3} (x - 6) = lo g_{9} (x)

Apply log rules

(x - 6)^{2} = x

Solve

(x - 6)^{2} = x : x = 9, x = 4

x = 9, x = 4

Verify Solutions:

x = 9

True

, x = 4

False

The solution is

x = 9

lo g_{9} (x) = - \frac{1}{2}

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

lo g_{x} (256) = 4

lo g_{10} (x) = - 2.2118

lo g_{x} (1) = 2

What is the answer to log_{3}(x-6)=log_{9}(x) ?
The answer to log_{3}(x-6)=log_{9}(x) is x=9
Solve for x: log_{3}(x-6)=log_{9}(x)
The solution is x=9