What is the answer to log_{10}(x-3)+log_{10}(x)=1 ?

The answer to log_{10}(x-3)+log_{10}(x)=1 is x=5

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log_{10}(x-3)+log_{10}(x)=1

lo g_{10} (x - 3) + lo g_{10} (x) = 1

x = 5

Solution steps

lo g_{10} (x - 3) + lo g_{10} (x) = 1

Apply log rules

(x - 3) x = 10

Solve

(x - 3) x = 10 : x = 5, x = - 2

x = 5, x = - 2

Verify Solutions:

x = 5

True

, x = - 2

False

The solution is

x = 5

lo g_{9} (5 x - 1) = lo g_{9} (3 x + 7)

lo g_{6} (x - 4) = lo g_{6} (2 x + 8)

ln (x) + ln (x + 3) = ln (20 - 5 x)

ln (x) = 2.3

lo g_{10} (x) = 2

What is the answer to log_{10}(x-3)+log_{10}(x)=1 ?
The answer to log_{10}(x-3)+log_{10}(x)=1 is x=5
Solve for x: log_{10}(x-3)+log_{10}(x)=1
The solution is x=5