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

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

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

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

x = 3

Solution steps

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

Apply log rules

x (x + 6) = 27

Solve

x (x + 6) = 27 : x = 3, x = - 9

x = 3, x = - 9

Verify Solutions:

x = 3

True

, x = - 9

False

The solution is

x = 3

2 lo g_{10} (x) - lo g_{10} (x - 6) = 0

4 lo g_{6} (x) - 2 lo g_{10} (x^{6}) = 7

(- 3 x) lo g_{10} (x + 8) = 0

x, ln (\frac{x}{x _{0}}) = u (t - t_{0})

2.8 = - lo g_{10} (h^{30})

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