SOLUTION: I am taking an online course- no book available. The question reads: Solve 1/125 = 25^8x-5 Possible answers: a. 1/4 b. 13/16 c. 1/8 d. 7/16

Algebra ->  College  -> Linear Algebra -> SOLUTION: I am taking an online course- no book available. The question reads: Solve 1/125 = 25^8x-5 Possible answers: a. 1/4 b. 13/16 c. 1/8 d. 7/16       Log On


   

Question 30949: I am taking an online course- no book available.
The question reads:
Solve 1/125 = 25^8x-5
Possible answers:
a. 1/4
b. 13/16
c. 1/8
d. 7/16

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
1/125 = 25^8x-5
=>(1/5)^3=(5)^2(8x-5)
=>(1/5)^3=(1/5)^2(5-8x)
=>3=2(5-8x)
=>3=10-16x
=>16x=7
=>x=7/16
Answer is d