let u=lna, v=lnb, w=lnc. for number 1 rewrite each without using the ln function

Question

1.) ln(a²c⁴/b⁵)

 

 

Answer 1

In a problem like this, if you try to rewrite the expression, such as simplify it, the answer will often just be there in front of you...

 

ln (a²c⁴/b⁵) =

ln a² + ln c⁴ - ln b⁵ =

2 ln a + 4 ln c - 5 ln b =

2u + 4w - 5v