What is the answer to log_{3}(x)+log_{3}(x+3)=2 ?

The answer to log_{3}(x)+log_{3}(x+3)=2 is x=(-3+3sqrt(5))/2

Solve for x: log_{3}(x)+log_{3}(x+3)=2

The solution is x=(-3+3sqrt(5))/2

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

x = \frac{- 3 + 3 5}{2}

Decimal Notation

x = 1.85410 \dots

Solution steps

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

Apply log rules

x (x + 3) = 9

Solve

x (x + 3) = 9 : x = \frac{- 3 + 3 5}{2}, x = \frac{- 3 - 3 5}{2}

x = \frac{- 3 + 3 5}{2}, x = \frac{- 3 - 3 5}{2}

Verify Solutions:

x = \frac{- 3 + 3 5}{2}

True

, x = \frac{- 3 - 3 5}{2}

False

The solution is

x = \frac{- 3 + 3 5}{2}

2 ln (x) = ln (9) + 4

p, ln (p) = r t + c

lo g_{4} (x - 5) = 1 - lo g_{4} (x - 2)

lo g_{x} (100) = 2

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

What is the answer to log_{3}(x)+log_{3}(x+3)=2 ?
The answer to log_{3}(x)+log_{3}(x+3)=2 is x=(-3+3sqrt(5))/2
Solve for x: log_{3}(x)+log_{3}(x+3)=2
The solution is x=(-3+3sqrt(5))/2