What is the answer to 2*ln(x)+ln(x^2+2)=ln(3) ?

The answer to 2*ln(x)+ln(x^2+2)=ln(3) is x=1

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2*ln(x)+ln(x^2+2)=ln(3)

2 \cdot ln (x) + ln (x^{2} + 2) = ln (3)

x = 1

Solution steps

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

Apply log rules

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

Solve

x^{2} (x^{2} + 2) = 3 : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions:

x = 1

True

, x = - 1

False

The solution is

x = 1

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

lo g_{2} (3 x - 1) - lo g_{2} (x + 2) = 4

2 ln (2 x) = - 2

lo g_{32} (x) + 2.5 lo g_{3} (x) - 1.5 = 0

ln (2 x) = - 1

What is the answer to 2*ln(x)+ln(x^2+2)=ln(3) ?
The answer to 2*ln(x)+ln(x^2+2)=ln(3) is x=1
Solve for x: 2*ln(x)+ln(x^2+2)=ln(3)
The solution is x=1