SOLUTION: I need help solving exponetial inequalities using logartihms. i can get to this step- 2nlog8=4n+3log52.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help solving exponetial inequalities using logartihms. i can get to this step- 2nlog8=4n+3log52.       Log On


   

Question 107504This question is from textbook Alegbra 2
: I need help solving exponetial inequalities using logartihms. i can get to this step- 2nlog8=4n+3log52.

This question is from textbook Alegbra 2

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
I need help solving exponetial inequalities using logartihms. i can get to this step-

    2nlog8 = 4n + 3log52. 

Replace log8 by A
Replace log52 by B
Then you have:

       2nA = 4n + 3B

Subtract 4n from both sides:

  2nA - 4n = 3B 

Factor out n on the left

n(2A - 4) = 3B    

Divide both sides by 2A - 4

       n = %283B%29%2F%282A-4%29

Now replace B by log52 and A by log8

       n = %283log52%29%2F%282log8-4%29

Get a calculator and punch that out,
getting:

       n = -2.346596334
Edwin