unicorneatbutter unicorneatbutter

16-05-2017
Mathematics

contestada

(1/4)^x= 256

[A] -1/4
[B] 1/4
[C] -4
[D] 4

Please explain how you got the answer so I may learn. Thank you!

Respuesta :

emarina emarina

16-05-2017

x= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4

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