SOLUTION: solve for x 15^10x=11^-x+3

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
**
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)
RELATED QUESTIONS
solve 5(2x-3)<15 10x - 15 < 15 10x - 15+15<15+15 10x = 30 X =... (answered by blhobbs1)

Solve for x �15 + x - 5 = 20 - 15 +... (answered by Mathtut)

solve for x 3^2x =... (answered by sofiyac)

Solve for x 3. 15^(2x)=36 (answered by tommyt3rd)

what is 10x+3=11(x-1)? (answered by Fombitz)

x/3+8=11 solve for... (answered by nabla)

10ac-x ------ = -3 solve for x... (answered by MathLover1)

how do I solve 8x^3-10x^2-x+3 divided by 2x+11? i have the correct answer, but can't... (answered by stanbon)

solve for x 10x + 3 = 4(x -1) +... (answered by tutorcecilia)