Using equations involving indices what is 125^x = 25?

  • 0 votes

I'm completely stuck on this question. 25 does not go into any powers of 125 and can only be x by 5 to make 125. I have no idea how to tackle it. Any suggestions/ answers would be 100% completely amazing thanks!

Posted Mon 24th September, 2012 @ 18:52 by Emily

5 Answers

  • 2 votes

125^x=25, remember 5^3=125 and 5^2=25

therefore 5^3x=5^2

thus 3x=2

x=2/3

Hope its right lol

Answered Mon 24th September, 2012 @ 21:35 by Ahamed
  • 0 votes

ahamed is correct.

Answered Wed 31st October, 2012 @ 20:45 by gaffer dean
  • 0 votes

if it to the power you shold be taking logs if its just timesed by then ahamed is coreect if is 125 to the power x =25

log125(25) =2/3

Answered Fri 2nd November, 2012 @ 09:36 by Edward Pinches
  • 0 votes

Ahamed was right, but the correct way to tackle this question is with logs:

125^x = 25

log(125)^x = log(25)

x log(125) = log(25)

x = log(25)/log(125)

x = 2/3

Hope this helps :-)

Answered Fri 2nd November, 2012 @ 12:06 by Student_123
  • -1 votes

x=25/125

=0.2

what about this? ( i am not completely sure)

Answered Mon 24th September, 2012 @ 21:32 by mo