What is the answer to ln(5x)-2ln(x^2)=0 ?

The answer to ln(5x)-2ln(x^2)=0 is x=e^{(ln(5))/3}

Solve for x: ln(5x)-2ln(x^2)=0

The solution is x=e^{(ln(5))/3}

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ln (5 x) - 2 ln (x^{2}) = 0

x = e^{\frac{l n ( 5 )}{3}}

Decimal Notation

x = 1.70997 \dots

Solution steps

ln (5 x) - 2 ln (x^{2}) = 0

Apply log rules

x = e^{\frac{l n ( 5 )}{3}}

Verify Solutions:

x = e^{\frac{l n ( 5 )}{3}}

True

The solution is

x = e^{\frac{l n ( 5 )}{3}}

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

lo g_{3 - 2 x} (6 x^{2} - 11 x + 6) = 2

- 1 = lo g_{10} (x)

ln (x) = - x

ln (x) = - 4

What is the answer to ln(5x)-2ln(x^2)=0 ?
The answer to ln(5x)-2ln(x^2)=0 is x=e^{(ln(5))/3}
Solve for x: ln(5x)-2ln(x^2)=0
The solution is x=e^{(ln(5))/3}