These type of problems consistently come up on practice calculous placement tests. I always end up getting them right, but I have to plug in multiple choice answers until one works. Is there an easier way to solve this?

Printable View

- Aug 4th 2011, 02:45 PMStudentMCCS8^(2-x)=4^(3x )solve for x
These type of problems consistently come up on practice calculous placement tests. I always end up getting them right, but I have to plug in multiple choice answers until one works. Is there an easier way to solve this?

- Aug 4th 2011, 02:50 PMSironRe: 8^(2-x)=4^(3x )solve for x
Yes, there's an easier way, write:

$\displaystyle 8^{2-x}=4^{3x}$ as

$\displaystyle 2^{6-3x}=2^{6x}$ and so:

$\displaystyle 6-3x=6x$

... - Aug 4th 2011, 02:53 PMPlatoRe: 8^(2-x)=4^(3x )solve for x