SOLUTION: Solve the exponenetial equation 3^(1+2x)=243 a)2 b)-2 c)6 d)81 I think the answer is A Please let me know. thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the exponenetial equation 3^(1+2x)=243 a)2 b)-2 c)6 d)81 I think the answer is A Please let me know. thanks      Log On


   

Question 242916: Solve the exponenetial equation
3^(1+2x)=243
a)2
b)-2
c)6
d)81
I think the answer is A
Please let me know. thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. Note how 243=3%5E5. So 3%5E%281%2B2x%29=243 becomes 3%5E%281%2B2x%29=3%5E5. Equate the exponents to get 1%2B2x=5 and solve for 'x' to get 2x=4 ---> x=2 which is the answer.