What is the answer to log_{10}(x-15)+log_{10}(x)=2 ?

The answer to log_{10}(x-15)+log_{10}(x)=2 is x=20

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log_{10}(x-15)+log_{10}(x)=2

lo g_{10} (x - 15) + lo g_{10} (x) = 2

x = 20

Solution steps

lo g_{10} (x - 15) + lo g_{10} (x) = 2

Apply log rules

(x - 15) x = 100

Solve

(x - 15) x = 100 : x = 20, x = - 5

x = 20, x = - 5

Verify Solutions:

x = 20

True

, x = - 5

False

The solution is

x = 20

3 lo g_{8} (3) = lo g_{8} (x)

lo g_{10} (x) = 4.3

lo g_{3} (2 x^{2} + 17 x) = 2

lo g_{10} (y + 21) + lo g_{10} (y) = 2

ln ((x - 2)^{2}) = 12

What is the answer to log_{10}(x-15)+log_{10}(x)=2 ?
The answer to log_{10}(x-15)+log_{10}(x)=2 is x=20
Solve for x: log_{10}(x-15)+log_{10}(x)=2
The solution is x=20