What is the answer to log_{6}(x+5)+log_{6}(x)=2 ?

The answer to log_{6}(x+5)+log_{6}(x)=2 is x=4

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log_{6}(x+5)+log_{6}(x)=2

lo g_{6} (x + 5) + lo g_{6} (x) = 2

x = 4

Solution steps

lo g_{6} (x + 5) + lo g_{6} (x) = 2

Apply log rules

(x + 5) x = 36

Solve

(x + 5) x = 36 : x = 4, x = - 9

x = 4, x = - 9

Verify Solutions:

x = 4

True

, x = - 9

False

The solution is

x = 4

x, ln (2 x - y - 4) = 0

ln (x - 5) + ln (x + 3) = 2 ln (3)

x, 3 ln (x^{4}) = 18

lo g_{x} (243) = 5

lo g_{3} (x - 5) = lo g_{3} (x) - 5

What is the answer to log_{6}(x+5)+log_{6}(x)=2 ?
The answer to log_{6}(x+5)+log_{6}(x)=2 is x=4
Solve for x: log_{6}(x+5)+log_{6}(x)=2
The solution is x=4