SOLUTION: What is the value of x, if ( 1/8)^x = 32? a. 3/5 b. -3/5 c. 5/3 d. -5/3

Algebra ->  Trigonometry-basics -> SOLUTION: What is the value of x, if ( 1/8)^x = 32? a. 3/5 b. -3/5 c. 5/3 d. -5/3      Log On


   

Question 1125832: What is the value of x, if ( 1/8)^x = 32?
a. 3/5
b. -3/5
c. 5/3
d. -5/3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+32+=+2%5E5+
+1%2F8+=+%281%2F2%29%5E3+
---------
+%281%2F8%29%5Ex+=+32+
+%281%2F2%29%5E%283x%29+=+2%5E5+
+%28+2%5E%28-1%29+%29%5E%283x%29+=+2%5E5+
+2%5E%28-3x%29+=+2%5E5+
+-3x+=+5+
+x+=+-5%2F3+
the answer is (d)
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check
+%281%2F8%29%5E%28-5%2F3%29+=+32+
+%281%2F2%29%5E%28-5%29+=+32+
+2%5E5+=+2%5E5+
OK