What is the answer to log_{6}(x+15)+log_{6}(x+6)=2 ?

The answer to log_{6}(x+15)+log_{6}(x+6)=2 is x=-3

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log_{6}(x+15)+log_{6}(x+6)=2

lo g_{6} (x + 15) + lo g_{6} (x + 6) = 2

x = - 3

Solution steps

lo g_{6} (x + 15) + lo g_{6} (x + 6) = 2

Apply log rules

(x + 15) (x + 6) = 36

Solve

(x + 15) (x + 6) = 36 : x = - 3, x = - 18

x = - 3, x = - 18

Verify Solutions:

x = - 3

True

, x = - 18

False

The solution is

x = - 3

0 = x - ln (x) - 1

5 ln^{2} (x) = 25 ln (x^{2})

4 lo g_{2} (x) = 3

lo g_{5} (4 x + 7) - lo g_{5} (x) = 2

lo g_{10} (y) = (- 0.05085)

What is the answer to log_{6}(x+15)+log_{6}(x+6)=2 ?
The answer to log_{6}(x+15)+log_{6}(x+6)=2 is x=-3
Solve for x: log_{6}(x+15)+log_{6}(x+6)=2
The solution is x=-3