Question

solve for x..... 2^((x^2)-x)=64

Answer 1

x = 3

2 ^ ((3^2)-3) = 64
2^(9 -3) = 64
2^6 = 64
2*2*2*2*2*2 = 64
64 = 64

Answer 2

but how did you find 3...or did you just plug in random numbers??

Answer 3

Usually in these types of homework exercises the answer is a small positive integer. So I just plugged in some numbers, you can use logarithms if you find that better.

log base 2 of 2 ^((x^2) -x) = log base 2 of 64
x^2-x=6
x(x-1)=6
x=3
x= -2

Answer 4

what??

Answer 5

can you explain?

Answer 6

You apply log base 2 to both sides. Do you know how to use log?

log base x of y = b means that x^b = y
log base 10 of 100 = 2 because 10^2 = 100.

Answer 7

yes i know that...

Answer 8

nevermind i understand...thankyou!

Answer 9

You're welcome.