What is the answer to log_{5}(x+2)+log_{5}(x)=1.5 ?

The answer to log_{5}(x+2)+log_{5}(x)=1.5 is x=(-2+sqrt(48.72135…))/2

Solve for x: log_{5}(x+2)+log_{5}(x)=1.5

The solution is x=(-2+sqrt(48.72135…))/2

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lo g_{5} (x + 2) + lo g_{5} (x) = 1.5

x = \frac{- 2 + 48.72135 \dots}{2}

Decimal Notation

x = 2.49003 \dots

Solution steps

lo g_{5} (x + 2) + lo g_{5} (x) = 1.5

Apply log rules

(x + 2) x = 5^{1.5}

Solve

(x + 2) x = 5^{1.5} : x = \frac{- 2 + 48.72135 \dots}{2}, x = \frac{- 2 - 48.72135 \dots}{2}

x = \frac{- 2 + 48.72135 \dots}{2}, x = \frac{- 2 - 48.72135 \dots}{2}

Verify Solutions:

x = \frac{- 2 + 48.72135 \dots}{2}

True

, x = \frac{- 2 - 48.72135 \dots}{2}

False

The solution is

x = \frac{- 2 + 48.72135 \dots}{2}

ln^{3} (x) + 3 ln^{2} (x) = 0

ln (3 x - 16) = 9

x, ln (e^{x y}) = ln (1)

ln (3 x - 16) = 6

20 lo g_{10} (\frac{x}{1}) = 30

What is the answer to log_{5}(x+2)+log_{5}(x)=1.5 ?
The answer to log_{5}(x+2)+log_{5}(x)=1.5 is x=(-2+sqrt(48.72135…))/2
Solve for x: log_{5}(x+2)+log_{5}(x)=1.5
The solution is x=(-2+sqrt(48.72135…))/2