SOLUTION: I need help with Part A and Part B!! a) If 7 ^ x = 43 , then x = (b) If 14 ^ ( -x ) = 2 , then x =

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help with Part A and Part B!! a) If 7 ^ x = 43 , then x = (b) If 14 ^ ( -x ) = 2 , then x =       Log On


   



Question 810517: I need help with Part A and Part B!!
a) If 7 ^ x = 43 , then x =
(b) If 14 ^ ( -x ) = 2 , then x =

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with Part A and Part B!!
a) If 7 ^ x = 43 , then x =
(b) If 14 ^ ( -x ) = 2 , then x =
a) If 7 ^ x = 43
take log of each side
log(7^x) = log(43)
xlog(7) = log(43)
divide each side by log(7)
x = log(43) / log(7)
b) 14^( -x ) = 2
take log of each side
log(14^x) = log(2)
xlog(14) = log(2)
x = log(2) / log(14)