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

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

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

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

x = 5

Decimal Notation

x = 2.23606 \dots

Solution steps

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

Add similar elements:

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

2 lo g_{5} (x) = 1

Divide both sides by

2

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

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

0 = 2 ln (x) - 4

lo g_{7} (x + 9) + lo g_{7} (49) = 0

4 lo g_{x} (3) + lo g_{3} (x) + 5 = 0

ln (\frac{1}{3} x + 2) = 2

ln (- x) = ln (\frac{1}{x})

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