What is the answer to log_{6}(x)+log_{6}(x+16)=2 ?

The answer to log_{6}(x)+log_{6}(x+16)=2 is x=2

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log_{6}(x)+log_{6}(x+16)=2

lo g_{6} (x) + lo g_{6} (x + 16) = 2

x = 2

Solution steps

lo g_{6} (x) + lo g_{6} (x + 16) = 2

Apply log rules

x (x + 16) = 36

Solve

x (x + 16) = 36 : x = 2, x = - 18

x = 2, x = - 18

Verify Solutions:

x = 2

True

, x = - 18

False

The solution is

x = 2

lo g_{10} (2 x + 1) = lo g_{10} (x + 6)

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

lo g_{b} (3125) = - 5

0.59 = ln (y)

lo g_{2} (- 3 x + 3) = 4

What is the answer to log_{6}(x)+log_{6}(x+16)=2 ?
The answer to log_{6}(x)+log_{6}(x+16)=2 is x=2
Solve for x: log_{6}(x)+log_{6}(x+16)=2
The solution is x=2