What is the answer to log_{10}(x)+log_{10}(x-5)=log_{10}(6) ?

The answer to log_{10}(x)+log_{10}(x-5)=log_{10}(6) is x=6

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log_{10}(x)+log_{10}(x-5)=log_{10}(6)

lo g_{10} (x) + lo g_{10} (x - 5) = lo g_{10} (6)

x = 6

Solution steps

lo g_{10} (x) + lo g_{10} (x - 5) = lo g_{10} (6)

Apply log rules

x (x - 5) = 6

Solve

x (x - 5) = 6 : x = 6, x = - 1

x = 6, x = - 1

Verify Solutions:

x = 6

True

, x = - 1

False

The solution is

x = 6

x, ln (x) = - 1

3 lo g_{3} (x) = 0

12 lo g_{10} (3 x) = 6

lo g_{10} (- m) + 2 = 4

ln (x) + ln (x - 4) = 4

What is the answer to log_{10}(x)+log_{10}(x-5)=log_{10}(6) ?
The answer to log_{10}(x)+log_{10}(x-5)=log_{10}(6) is x=6
Solve for x: log_{10}(x)+log_{10}(x-5)=log_{10}(6)
The solution is x=6