Question 477874: solve for x
15^10x=11^-x+3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! solve for x
15^10x=11^-x+3
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Whenever you have the variable in the exponents, the solution usually requires the use of logarithms.
15^10x=11^(-x+3)
10xlog 15=(-x+3)log 11
10x/(-x+3)=log11/log15=.8855
10x=(-x+3)(.8855)=-.8855x+2.6564
10.8855x=2.6564
x=2.6564/10.8855=.244
..
Check
15^10x=15^2.44=740.7347=741 (rounded)
11^x-3=11^2.756=741.4438=741 (rounded)
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