What is the answer to log_{10}(x)+log_{10}(x+15)=2 ?

The answer to log_{10}(x)+log_{10}(x+15)=2 is x=5

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log_{10}(x)+log_{10}(x+15)=2

lo g_{10} (x) + lo g_{10} (x + 15) = 2

x = 5

Solution steps

lo g_{10} (x) + lo g_{10} (x + 15) = 2

Apply log rules

x (x + 15) = 100

Solve

x (x + 15) = 100 : x = 5, x = - 20

x = 5, x = - 20

Verify Solutions:

x = 5

True

, x = - 20

False

The solution is

x = 5

lo g_{x} (4) = 2

lo g_{x} (64) = 6

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

lo g_{10} (4 x) = 2

lo g_{9} (x) = - 2

What is the answer to log_{10}(x)+log_{10}(x+15)=2 ?
The answer to log_{10}(x)+log_{10}(x+15)=2 is x=5
Solve for x: log_{10}(x)+log_{10}(x+15)=2
The solution is x=5