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?

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- Aug 4th 2011, 03:45 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, 03:50 PMSironRe: 8^(2-x)=4^(3x )solve for x
Yes, there's an easier way, write:

as

and so:

... - Aug 4th 2011, 03:53 PMPlatoRe: 8^(2-x)=4^(3x )solve for x