SOLUTION: find an appropriate rational solution to each equation. round answer to four decimal places 3^x=12

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: find an appropriate rational solution to each equation. round answer to four decimal places 3^x=12      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 42305This question is from textbook College Algebra
: find an appropriate rational solution to each equation. round answer to four decimal places
3^x=12This question is from textbook College Algebra

Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
From 3^x = 12, take the log of both sides and get
log 3^x = log 12
x*log 3 = log 12
x = (log 12) / (log 3)
use your calculator for the numerical answer, but it won't be a rational one...should be around 2.3...