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

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

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

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

x = 3

Solution steps

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

Apply log rules

x^{2} = x + 6

Solve

x^{2} = x + 6 : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

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

lo g_{3} (5 x + 1) = 4

lo g_{2} (x) = - 4

0.27 = lo g_{10} (x)

2 ln (x + 3) = 0

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