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_{\frac{1}{6}} (0.5 + x) = - 1

363 = 127 lo g_{10} (0.3 x) + 76

ln (\frac{1}{x}) = - 2

a, lo g_{ab} (b) = 15

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

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