SOLUTION: 14^x-3=21 i know the answer is approx 4.154 but im not sure how to correctly arrive at this answer. i would like to see the proper steps.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 14^x-3=21 i know the answer is approx 4.154 but im not sure how to correctly arrive at this answer. i would like to see the proper steps.      Log On


   



Question 465324: 14^x-3=21
i know the answer is approx 4.154 but im not sure how to correctly arrive at this answer. i would like to see the proper steps.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
14^(x-3) = 21
(x-3)log(14) = log(21)
x-3 = log(21)/log(14)
x = 3 + 1.54
x = 4.154