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

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

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

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

m = 5

Solution steps

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

Apply log rules

m (m - 3) = 10

Solve

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

m = 5, m = - 2

Verify Solutions:

m = 5

True

, m = - 2

False

The solution is

m = 5

ln (x - 2) + ln (3) = 5

ln (x) + ln (2 x) = - 3

lo g_{3} (p) = 7

lo g_{3} (2 x + 3) = 4 - lo g_{3} (x + 6)

lo g_{3} (2) + lo g_{3} (b + 1) = 1

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