college algebra help needed quickly!!!!!!!!?

Question

Let U=1n a and V=1n b. Write the following expression in terms of u and v without using the function 1n.

1n 4√a^5/b^3

Answer 1

Your equation is not clear. Is the entire term a^5/b^3 under the radical? or is it just the a^5?

Assuming the latter, the expression is ln(4√[a^5] / b^3). expanding the log term gives

ln4 + (5/2)lna - 3lnb, or

1.386 +(5/2)u - 3v

If the expression is ln(4√[a^5/b^3], then

ln4 + (5/2)*lna - (3/2)*lnb. or

1.386 + (5/2)u - (3/2)v

Answer 2

Assuming 1n is ln (natural logarithm?)
= 4ln(sqrt (a^5)/b^3)
= 4ln(sqrt a^5) - 4ln(b^3)
= 4*5/2 * lna - 4 * 3 * ln b
= 10U - 12V

Sorry if that's completely wrong, I'm not really sure if that's what you're asking.