SOLUTION: Could someone please help me with this? Find the negative value of x such that 2^log4(1/64) + x^2 = (73/8). Thanks!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Could someone please help me with this? Find the negative value of x such that 2^log4(1/64) + x^2 = (73/8). Thanks!      Log On


   



Question 289553: Could someone please help me with this?
Find the negative value of x such that 2^log4(1/64) + x^2 = (73/8).
Thanks!

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone please help me with this?
Find the negative value of x such that 2^log4(1/64) + x^2 = (73/8).
Thanks!
need to do this a piece at a time
first evaluating log4 (1/64)
4^r = 1/64
r = -3
leaves:
2^(-3) + x^2 = 73/8
1/8 + x^2 = 73/8
x^2 = 72/8 = 36/4 = 18/2 = 9
x = 3 or x = -3
the negative value of x is -3