3ln x-2ln y=1?

Question

 this is basic mathematics for logarithm  

 

 

 

Answer 1

The natural logarithmic equation is 3 ln x - 2 ln y = 1.

Apply Power Property of Natural Logarithm : n ln u = ln uⁿ.

ln x³ - ln y² = 1

Apply Quotient Property of Natural Logarithm : ln u - ln v = ln (u/v).

ln (x³/y²) = ln e

Apply One-to-One Property of Natural Logarithm : If ln x = ln y, then x = y.

x³/y² = e

x³/y² ≅ 2.718281 . . . .

This is basic mathematics for algebraically.