What is the answer to 5ln(3x)-2ln(2x)=6 ?

The answer to 5ln(3x)-2ln(2x)=6 is x=e^{(6-5ln(3)+2ln(2))/3}

Solve for x: 5ln(3x)-2ln(2x)=6

The solution is x=e^{(6-5ln(3)+2ln(2))/3}

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5 ln (3 x) - 2 ln (2 x) = 6

x = e^{\frac{6 - 5 l n ( 3 ) + 2 l n ( 2 )}{3}}

Decimal Notation

x = 1.87963 \dots

Solution steps

5 ln (3 x) - 2 ln (2 x) = 6

Apply log rules

x = e^{\frac{6 - 5 l n ( 3 ) + 2 l n ( 2 )}{3}}

Verify Solutions:

x = e^{\frac{6 - 5 l n ( 3 ) + 2 l n ( 2 )}{3}}

True

The solution is

x = e^{\frac{6 - 5 l n ( 3 ) + 2 l n ( 2 )}{3}}

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

0 = ln (1 + (1 + c^{1}))

lo g_{2} (x - 2) + lo g_{2} (2 x - 1) = 0

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

6 (ln (4 x) + 1) = 0

What is the answer to 5ln(3x)-2ln(2x)=6 ?
The answer to 5ln(3x)-2ln(2x)=6 is x=e^{(6-5ln(3)+2ln(2))/3}
Solve for x: 5ln(3x)-2ln(2x)=6
The solution is x=e^{(6-5ln(3)+2ln(2))/3}