# No matter i did it, can't express both side as a power with base 2

• January 7th 2013, 03:05 PM
JarvisStu001
No matter i did it, can't express both side as a power with base 2
Here is the equation: cubic root(2562) * 16x=64x-3

I need to express both sides as a power with base 2, but no matter how i solve it, it never can make base 2.

HELP!!
• January 7th 2013, 03:35 PM
chiro
Re: No matter i did it, can't express both side as a power with base 2
Hey JarvisStu001.

Hint: Recall that 16 = 2^4 and 64 = 2^6 with the fact (a^xy) = (a^x)^y.
• January 7th 2013, 04:03 PM
Plato
Re: No matter i did it, can't express both side as a power with base 2
Quote:

Originally Posted by JarvisStu001
Here is the equation: cubic root(2562) * 16x=64x-3

You need to awake up to basic powers.

$256=2^8$ thus $256^2=2^{16}$.

$16^x=2^{4x}~\&~64^{x-3}=2^{6x-18}$.
• January 7th 2013, 04:09 PM
JarvisStu001
Re: No matter i did it, can't express both side as a power with base 2
Got it, Thanks alot! :)