What is the answer to log_{2}(x)+log_{2}(x+7)=3 ?

The answer to log_{2}(x)+log_{2}(x+7)=3 is x=1

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log_{2}(x)+log_{2}(x+7)=3

lo g_{2} (x) + lo g_{2} (x + 7) = 3

x = 1

Solution steps

lo g_{2} (x) + lo g_{2} (x + 7) = 3

Apply log rules

x (x + 7) = 8

Solve

x (x + 7) = 8 : x = 1, x = - 8

x = 1, x = - 8

Verify Solutions:

x = 1

True

, x = - 8

False

The solution is

x = 1

lo g_{2} (x) = 32

ln (x) + ln (x + 30) = ln (31)

ln (x^{3} - 1) = 1.946

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

lo g_{2} (9 x) - 2 lo g_{2} (8) = 1

What is the answer to log_{2}(x)+log_{2}(x+7)=3 ?
The answer to log_{2}(x)+log_{2}(x+7)=3 is x=1
Solve for x: log_{2}(x)+log_{2}(x+7)=3
The solution is x=1