Math Worksheets

Question: Can someone help me with this problem? math?

Hey everyone, so I’m doing a worksheet for math and i seem to be getting most of it except this problem is giving me a hard time. I’m sure it’s easier than what i am making it out to be, but any help would be appreciated!

(1/4) all of that ^x+1 = 16^x

Thanks!

Answer: Remember this property of logarithms.
log(a^x) = xloga

Solution:
(1/4)^(x + 1) = 16^x
4^(-1(x + 1)) = 4^(2x)
4^(-x – 1) = 4^(2x)
log4^(-x – 1) = log4^(2x)
(-x – 1)log4 = 2xlog4
-x – 1 = 2x
-1 = 2x + x
-1 = 3x
-1/3 = x (Answer)

Hope this helps!

UNICEF: Palestinian children face educational challenges