SOLUTION: 1. Write x in terms of a , b and c a) ln x = ln a + ln b - ln c b) ln x = 2 ln a + 3 ln b - 1/2 ln c Can you please help me out ? Thanks so much in advance:) Can you please sh

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Write x in terms of a , b and c a) ln x = ln a + ln b - ln c b) ln x = 2 ln a + 3 ln b - 1/2 ln c Can you please help me out ? Thanks so much in advance:) Can you please sh      Log On


   

Question 742655: 1. Write x in terms of a , b and c
a) ln x = ln a + ln b - ln c
b) ln x = 2 ln a + 3 ln b - 1/2 ln c
Can you please help me out ? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. Write x in terms of a , b and c
a) ln x = ln a + ln b - ln c
Follow the rules of logs we have
ln%28x%29+=+ln%28%28ab%29%2Fc%29
which is just:
x = %28ab%29%2Fc
:
b) ln x = 2 ln a + 3 ln b - 1/2 ln c
rewrite using exponents
ln%28x%29+=+ln%28a%5E2%29+%2B+ln%28b%5E3%29+-+ln%28c%5E%281%2F2%29%29
we can write c as a square root:
ln%28x%29+=+ln%28a%5E2%29+%2B+ln%28b%5E3%29+-+ln%28sqrt%28c%29%29
then
ln%28x%29+=+ln%28%28a%5E2b%5E3%29%2Fsqrt%28c%29%29
which is
x+=+%28%28a%5E2b%5E3%29%2Fsqrt%28c%29%29