SOLUTION: 6. Find the exact value of the following logarithm without using a calculator. Use the properties of logarithms. Please show all of your work. If log4 24 - log4 6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 6. Find the exact value of the following logarithm without using a calculator. Use the properties of logarithms. Please show all of your work. If log4 24 - log4 6       Log On


   

Question 469357: 6. Find the exact value of the following logarithm without using a calculator. Use the properties of logarithms. Please show all of your work.
If log4 24 - log4 6
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
Log%5B4%5D%2824%29-Log%5B4%5D%284%29 Rewrite, using the "quotient rule", as:
Log%5B4%5D%2824%2F6%29 Simplify the argument.
Log%5B4%5D%284%29 Apply Log%5Bb%5D%28b%29+=+1
highlight%28Log%5B4%5D%284%29+=+1%29