+0

# Indices

0
73
1

if 16 to the power of x= 1 over 64, what is the value of x

Guest Oct 4, 2017

#1
+5555
+2

16x  =  1 / 64          Since   24 = 16  and  26 = 64 , we can write this as...

(24)x  =  1 / (26)       And   (xa) =  xab  , so...

24x   =  1 / (26)       And  x-a  =  1 / xa  , so...

24x   =  2-6            Now the bases are both equal to 2, so the exponents are equal.

4x  =  -6       Divide both sides by  4 .

x  =  -3/2

hectictar  Oct 5, 2017
Sort:

#1
+5555
+2

16x  =  1 / 64          Since   24 = 16  and  26 = 64 , we can write this as...

(24)x  =  1 / (26)       And   (xa) =  xab  , so...

24x   =  1 / (26)       And  x-a  =  1 / xa  , so...

24x   =  2-6            Now the bases are both equal to 2, so the exponents are equal.

4x  =  -6       Divide both sides by  4 .

x  =  -3/2

hectictar  Oct 5, 2017

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details