Question

Solve the equation 2^(3x) = 8^(4x/1/2) for x

Answer 1

\[2^{3x}=8^{4x-\frac{ 1 }{ 2 }}\]

Answer 2

hint: use the fact that \(8=2^3\)

Answer 3

I don't really see how that helps...

Answer 4

if you use that hint then you will effectively have something like:\[2^x=2^y\]which means you can state that:\[x=y\]

Answer 5

does that make sense now?

Answer 6

that helps more than you'll ever know....it's the meaning of life...

Answer 7

:D

Answer 8

3x = 12x - 3/2
9x = 3/2
x = 3/18
x = 1/6

Answer 9

all done

Answer 10

Wait! I wrote the equation wrong! It's
2^(3x) = 8*4^(x/1/2)

Answer 11

use the same hint

Answer 12

but in addition to that use: \(4=2^2\)

Answer 13

Thanks!

Answer 14

yw and I'm glad you finally worked it out! :)