What is the answer to log_{10}(x)+log_{10}(x-9)=1 ?

The answer to log_{10}(x)+log_{10}(x-9)=1 is x=10

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log_{10}(x)+log_{10}(x-9)=1

lo g_{10} (x) + lo g_{10} (x - 9) = 1

x = 10

Solution steps

lo g_{10} (x) + lo g_{10} (x - 9) = 1

Apply log rules

x (x - 9) = 10

Solve

x (x - 9) = 10 : x = 10, x = - 1

x = 10, x = - 1

Verify Solutions:

x = 10

True

, x = - 1

False

The solution is

x = 10

lo g_{2} (x^{2}) - lo g_{x} (x) = 7

2 lo g_{3} (x + 15) - lo g_{3} (x) = 4

lo g_{2} (x + 2) - lo g_{2} (x - 5) = 3

ln (x - 5) = 1

5 lo g_{3} (x + 11) = 5

What is the answer to log_{10}(x)+log_{10}(x-9)=1 ?
The answer to log_{10}(x)+log_{10}(x-9)=1 is x=10
Solve for x: log_{10}(x)+log_{10}(x-9)=1
The solution is x=10