Question 477874
solve for x 
15^10x=11^-x+3
**
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)