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

The answer to log_{10}(x)+log_{10}(x+10)=3 is x=5(sqrt(41)-1)

Solve for x: log_{10}(x)+log_{10}(x+10)=3

The solution is x=5(sqrt(41)-1)

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

x = 5 (41 - 1)

Decimal Notation

x = 27.01562 \dots

Solution steps

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

Apply log rules

x (x + 10) = 1000

Solve

x (x + 10) = 1000 : x = 5 (41 - 1), x = - 5 (1 + 41)

x = 5 (41 - 1), x = - 5 (1 + 41)

Verify Solutions:

x = 5 (41 - 1)

True

, x = - 5 (1 + 41)

False

The solution is

x = 5 (41 - 1)

ln (ln (x - 1)) = e

lo g_{10} (x) = 1 + lo g_{10} (3 x - 4)

lo g_{\frac{1}{2}} (5 (x - 1)) = 3

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

lo g_{2} (x + 5) = 2 + lo g_{2} (x + 8)

What is the answer to log_{10}(x)+log_{10}(x+10)=3 ?
The answer to log_{10}(x)+log_{10}(x+10)=3 is x=5(sqrt(41)-1)
Solve for x: log_{10}(x)+log_{10}(x+10)=3
The solution is x=5(sqrt(41)-1)