What is the answer to log_{10}(x)+log_{10}(x+90)=3 ?

The answer to log_{10}(x)+log_{10}(x+90)=3 is x=10

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log_{10}(x)+log_{10}(x+90)=3

lo g_{10} (x) + lo g_{10} (x + 90) = 3

x = 10

Solution steps

lo g_{10} (x) + lo g_{10} (x + 90) = 3

Apply log rules

x (x + 90) = 1000

Solve

x (x + 90) = 1000 : x = 10, x = - 100

x = 10, x = - 100

Verify Solutions:

x = 10

True

, x = - 100

False

The solution is

x = 10

t, ln (2 t + 3) = 4

1 = 2.22 + lo g_{10} (x)

lo g_{2} (8 x - 3) = 2 + lo g_{10} (2)

lo g_{3} ((x + 10)^{4}) = 4

- 20 lo g_{10} (x) = 10.2

What is the answer to log_{10}(x)+log_{10}(x+90)=3 ?
The answer to log_{10}(x)+log_{10}(x+90)=3 is x=10
Solve for x: log_{10}(x)+log_{10}(x+90)=3
The solution is x=10