How to Solve 3^x=14

logarithm equations
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

To solve this we need to take logs to the base 3 of both sides: x=log14=2.402. If you don't know the log to the base 3 of 14 find log to base 10 of 14=1.1461 and divide by log to base 10 of 3=0.4771; 1.1461/0.4771=2.402. We could also use natural logs=ln14/ln3=2.6391/1.0986=2.402.
by Top Rated User (1.2m points)

Related questions

1 answer
evaluate log5 1
asked Nov 7, 2013 in Trigonometry Answers by jodipresley Level 1 User (140 points) | 9.1k views
1 answer
solve logarithmic equation
asked Apr 24, 2013 in Algebra 2 Answers by anonymous | 1.1k views
1 answer
solving for x
asked Dec 28, 2014 in Algebra 1 Answers by Dave | 674 views
1 answer
16(2.3)^x=(6.2)^x
asked Oct 3, 2013 in Pre-Algebra Answers by anonymous | 694 views
1 answer
( (log (x) )( log (x^2) ) + log(x^3) - 5 = 0
asked Sep 29, 2013 in Algebra 2 Answers by anonymous | 653 views
1 answer
log5 4 + log 5 2x = log5 24
asked May 14, 2013 in Algebra 2 Answers by anonymous | 3.1k views
1 answer
log[6](x)+log[6](x+16)=2
asked May 14, 2013 in Algebra 2 Answers by anonymous | 658 views
1 answer
solving logarithms
asked Mar 20, 2013 in Algebra 2 Answers by anonymous | 1.6k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12รท4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,210 users