SOLUTION: Trying to help my son - but it's a long time since I tackled this subject Transpose the formula b=log e t - log e D to make t the subject Show using laws of logarithms tha

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Trying to help my son - but it's a long time since I tackled this subject Transpose the formula b=log e t - log e D to make t the subject Show using laws of logarithms tha      Log On


   

Question 413440: Trying to help my son - but it's a long time since I tackled this subject
Transpose the formula b=log e t - log e D to make t the subject

Show using laws of logarithms that
I=log 2 (1/p) can be expressed as I = -log 2 (p)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure, but I think this is what you wrote:
b+=+ln%28e%5Et%29+-+ln%28e%5ED%29
If so,
b+=+ln%28e%5Et%2Fe%5ED%29
b+=+ln%28e%5E%28t+-+D%29%29
b+=+t+-+D
t+=+b+%2B+D
------------------
I+=+log%282%2C1%2Fp%29
I+=+log%282%2Cp%5E-1%29
I+=+-log%282%2Cp%29
------------------
This is the same concept as this easier problem:
K+=+log%281%2F100%29 (log to the base 10)
K+=+log%2810%5E-2%29
K+=+-2%2Alog%2810%29
K+=+-2