Question

What is the exact value of x in the exponential equation 2^8x − 3 = 7?

x = log4/8log2
x = 1/8log2
x= 5/8
x =log5/8

Answer 1

Tke logarithms of both sides

Answer 2

Take

Answer 3

Im not exactly sure on how to do that

Answer 4

2^8x − 3 = 7
Okay, I'll take logarithms of both sides
2^8x = 10
log (2^8*x) = log(10)
8x * log(2) = log(10)
8x * 0.30102999566 = 1
Can you solve from here?

Answer 5

Maybe it should stay as
8x * log(2) = 1

Answer 6

find x by solving:
8x * 0.30102999566=1?

Answer 7

OR
8x * log(2) = 1

Answer 8

Divide both sides by 8 * log(2)

Answer 9

I solved that and got B :) is that correct?

Answer 10

Yes. See it's just that simple LOL

Answer 11

the decimal really threw me off! lol

Answer 12

okkay - you've got it

Answer 13

Do you mind helping me with a few more? :)

Answer 14

I think I see another problem that I could help someone else
Maybe post the problem and I might get back

Answer 15

Of course! Thank you! I will give you a medal each time!