Question

how is ln (x^2 + y^2)^ (1/2) = 1/2 ln (x^2 + y^2)?

Answer 1

exponent rule. It is used to make complicated terms into something you can work with.

Answer 2

Logarithmic Rule 3: I found it....ln (u)^n = n ln (u)

Answer 3

Yes, used very often in calculus when the exponent is a complicated term, and often used to manipulate a term, with the exponent the term may be 'indeterminate', but if you bring it down it makes it an acceptable term.