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

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

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

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

x = 10

Solution steps

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

Move

lo g_{10} (10)

to the right side

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

Apply log rules

x - 9 = 1

Solve

x - 9 = 1 : x = 10

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

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

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

lo g_{4} (5 x - 4) = 2 x

lo g_{12} (4 x + 2) = 0

ln (\frac{( x + 3 )}{( x - 1 )}) = 1

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