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If 8^x = (1/2)^(x + 1), what is the value of x?

 Jun 6, 2020
 #1
avatar+34 
+2

(1/2)^(x + 1) = 2^(-x-1)

8^x = 2^3x

3x = -x-1

x = -1/4

 Jun 7, 2020
 #2
avatar+26605 
+1

Log both sides

x log8 = (x+1) log 1/2

1.2041998 x = -.30102999

x = - .25

 

( but I like possible's method more!)

 Jun 7, 2020

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