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=20

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

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

x = 20

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 = 20, x = - 5

x = 20, x = - 5

Verify Solutions:

x = 20

True

, x = - 5

False

The solution is

x = 20

lo g_{10} (3 x - 2) = 2

lo g_{8} (x) = \frac{1}{3}

2 lo g_{4} (x) - lo g_{4} (9) = 2

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

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

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=20
Solve for x: log_{10}(x)+log_{10}(x-15)=2
The solution is x=20