What is the answer to 3ln(x)+2ln(x^2)=6 ?

The answer to 3ln(x)+2ln(x^2)=6 is x=e^{6/7}

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3ln(x)+2ln(x^2)=6

3 ln (x) + 2 ln (x^{2}) = 6

x = e^{\frac{6}{7}}

Solution steps

3 ln (x) + 2 ln (x^{2}) = 6

Apply log rules

x = e^{\frac{6}{7}}

Verify Solutions:

x = e^{\frac{6}{7}}

True

The solution is

x = e^{\frac{6}{7}}

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

2^{l o g_{2} (x)} = x

2 lo g_{e} (x + 3) = lo g_{e} (9 x + 19)

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

lo g_{4} (x + 3) = lo g_{4} (9)

What is the answer to 3ln(x)+2ln(x^2)=6 ?
The answer to 3ln(x)+2ln(x^2)=6 is x=e^{6/7}
Solve for x: 3ln(x)+2ln(x^2)=6
The solution is x=e^{6/7}