What is the answer to log_{2}(x+14)+log_{2}(x+2)=6 ?

The answer to log_{2}(x+14)+log_{2}(x+2)=6 is x=2

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log_{2}(x+14)+log_{2}(x+2)=6

lo g_{2} (x + 14) + lo g_{2} (x + 2) = 6

x = 2

Solution steps

lo g_{2} (x + 14) + lo g_{2} (x + 2) = 6

Apply log rules

(x + 14) (x + 2) = 64

Solve

(x + 14) (x + 2) = 64 : x = 2, x = - 18

x = 2, x = - 18

Verify Solutions:

x = 2

True

, x = - 18

False

The solution is

x = 2

x, y = ln (x + C)

5 = lo g_{2} (x - 1)

0.9 = ln (x)

lo g_{4} (x) = \frac{5}{2}

lo g_{10} (x - 5) = 0

What is the answer to log_{2}(x+14)+log_{2}(x+2)=6 ?
The answer to log_{2}(x+14)+log_{2}(x+2)=6 is x=2
Solve for x: log_{2}(x+14)+log_{2}(x+2)=6
The solution is x=2