4^(x+2)=6^(-2x-3)

I am completely clueless how to do this problem because neither my teacher nor my book explained it very well. Please HELP

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- Mar 14th 2013, 10:26 AMpaigesiscoExponential & Logarithmic Equations
4^(x+2)=6^(-2x-3)

I am completely clueless how to do this problem because neither my teacher nor my book explained it very well. Please HELP - Mar 14th 2013, 10:34 AMBobPRe: Exponential & Logarithmic Equations
Make use of one of the rules of logs,

It doesn't matter what base you choose, the rule works for any base.

Take logs of your equation, apply the rule and then solve for x. - Mar 14th 2013, 10:35 AMPlatoRe: Exponential & Logarithmic Equations
- Mar 14th 2013, 11:04 AMShakarriRe: Exponential & Logarithmic Equations
Another way to do it,

Remember that

So we have

then