What is the answer to log_{3}(x)=log_{9}(5x+6) ?

The answer to log_{3}(x)=log_{9}(5x+6) is x=6

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log_{3}(x)=log_{9}(5x+6)

lo g_{3} (x) = lo g_{9} (5 x + 6)

x = 6

Solution steps

lo g_{3} (x) = lo g_{9} (5 x + 6)

Apply log rules

x^{2} = 5 x + 6

Solve

x^{2} = 5 x + 6 : x = 6, x = - 1

x = 6, x = - 1

Verify Solutions:

x = 6

True

, x = - 1

False

The solution is

x = 6

lo g_{3} (∣ 2 x - 7 ∣) = 1

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

lo g_{3} (x) - 2 \cdot lo g_{13} (x) = 6

(lo g_{10} (x))^{3} = 0

lo g_{10} (\frac{( x + 4 )}{( x - 2 )}) = 2

What is the answer to log_{3}(x)=log_{9}(5x+6) ?
The answer to log_{3}(x)=log_{9}(5x+6) is x=6
Solve for x: log_{3}(x)=log_{9}(5x+6)
The solution is x=6