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

Guest Oct 4, 2017

Best Answer 

 #1
avatar+4711 
+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
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1+0 Answers

 #1
avatar+4711 
+2
Best Answer

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

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