What is the answer to log_{10}(x+21)+log_{10}(x)=2 ?

The answer to log_{10}(x+21)+log_{10}(x)=2 is x=4

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log_{10}(x+21)+log_{10}(x)=2

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

x = 4

Solution steps

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

Apply log rules

(x + 21) x = 100

Solve

(x + 21) x = 100 : x = 4, x = - 25

x = 4, x = - 25

Verify Solutions:

x = 4

True

, x = - 25

False

The solution is

x = 4

lo g_{2} (x + 5) - lo g_{2} (2 x - 1) = 5

ln (x^{2} - 2 x - 2) = 0

3 lo g_{4} (- 7 x + 6) - 5 = 1

lo g_{3} (x + 2) - lo g_{3} (x) = 1

lo g_{10} (x) 36 = 2

What is the answer to log_{10}(x+21)+log_{10}(x)=2 ?
The answer to log_{10}(x+21)+log_{10}(x)=2 is x=4
Solve for x: log_{10}(x+21)+log_{10}(x)=2
The solution is x=4