What is the answer to ln(4x)-3ln(x^2)=ln(2) ?

The answer to ln(4x)-3ln(x^2)=ln(2) is x=e^{(ln(2))/5}

Solve for x: ln(4x)-3ln(x^2)=ln(2)

The solution is x=e^{(ln(2))/5}

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ln (4 x) - 3 ln (x^{2}) = ln (2)

x = e^{\frac{l n ( 2 )}{5}}

Decimal Notation

x = 1.14869 \dots

Solution steps

ln (4 x) - 3 ln (x^{2}) = ln (2)

Apply log rules

x = e^{\frac{l n ( 2 )}{5}}

Verify Solutions:

x = e^{\frac{l n ( 2 )}{5}}

True

The solution is

x = e^{\frac{l n ( 2 )}{5}}

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

lo g_{10} (x^{3} + 2000) = 2

lo g_{x} (49) = 2

lo g_{2} (x + 7) + lo g_{2} (x) = 3

lo g_{3} (x + 3) + lo g_{3} (x + 5) = 1

What is the answer to ln(4x)-3ln(x^2)=ln(2) ?
The answer to ln(4x)-3ln(x^2)=ln(2) is x=e^{(ln(2))/5}
Solve for x: ln(4x)-3ln(x^2)=ln(2)
The solution is x=e^{(ln(2))/5}