Question

Evaluate the expression. If necessary, round to the nearest hundredth. lne^3x^2

Answer 1

lne^3x^2

by the properties of logarithm

lna^x = xlna

so, the equation goes by

3x^2 lne; lne = 1

so the equation is 3x^2

Answer 2

For this case we have the following expression:
lne ^ 3x ^ 2
Rewriting we have:
ln (e ^ (3x ^ 2))
By properties of the natural and exponential logarithm function, we can
rewrite the expression as:
ln (e ^ (3x ^ 2)) = 3x ^ 2
Answer:
The equivalent expression is given by:
3x ^ 2