What is the answer to log_{5}(x)+log_{5}(x+4)=1 ?

The answer to log_{5}(x)+log_{5}(x+4)=1 is x=1

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log_{5}(x)+log_{5}(x+4)=1

lo g_{5} (x) + lo g_{5} (x + 4) = 1

x = 1

Solution steps

lo g_{5} (x) + lo g_{5} (x + 4) = 1

Apply log rules

x (x + 4) = 5

Solve

x (x + 4) = 5 : x = 1, x = - 5

x = 1, x = - 5

Verify Solutions:

x = 1

True

, x = - 5

False

The solution is

x = 1

0.71 = ln (x)

5 = lo g_{2} (2 x - 10)

2 lo g_{9} (2) = lo g_{9} (x)

x, y = lo g_{y} (x) + 2

ln (\frac{x}{2}) = 6.78

What is the answer to log_{5}(x)+log_{5}(x+4)=1 ?
The answer to log_{5}(x)+log_{5}(x+4)=1 is x=1
Solve for x: log_{5}(x)+log_{5}(x+4)=1
The solution is x=1