SOLUTION: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m. help me plz

Algebra ->  Exponents -> SOLUTION: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m. help me plz       Log On


   

Question 1070203: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m.
help me plz
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
I believe your equation is:3^m=19683...so find m. If we take the natural log of both sides, we get:
ln 3^m=ln 19683
m ln 3=ln 19683
m = ln 19683/ln 3
m=9
Thus 3^9=19683. ☺☺☺☺