What is the answer to log_{10}(x)+log_{10}(x-15)=3 ?

The answer to log_{10}(x)+log_{10}(x-15)=3 is x=40

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log_{10}(x)+log_{10}(x-15)=3

lo g_{10} (x) + lo g_{10} (x - 15) = 3

x = 40

Solution steps

lo g_{10} (x) + lo g_{10} (x - 15) = 3

Apply log rules

x (x - 15) = 1000

Solve

x (x - 15) = 1000 : x = 40, x = - 25

x = 40, x = - 25

Verify Solutions:

x = 40

True

, x = - 25

False

The solution is

x = 40

ln (x + 3) = 3

ln (x + 3) = 1

lo g_{0.25} (x) = 2

lo g_{10} (x) 81 = 4

7 + 3 ln (x) = 2

What is the answer to log_{10}(x)+log_{10}(x-15)=3 ?
The answer to log_{10}(x)+log_{10}(x-15)=3 is x=40
Solve for x: log_{10}(x)+log_{10}(x-15)=3
The solution is x=40