anonymous
  • anonymous
Math help Write 3^x =12 in logarithmic form Write in 7=x in exponential form
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Logs simply answer the question "what power must 3 be raised to to get 12?" log 3^x =12
anonymous
  • anonymous
4?
anonymous
  • anonymous
OK if y= b^x then log to the base b of y = x

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anonymous
  • anonymous
Example: if 100= 10^2 then log to trhe base 10 of 100 = 2
anonymous
  • anonymous
generally what happens is you take the log of both sides: log (3^x) = log(12) then due to another rule: x. log3 = log12 and then x= log 12/log3 x= 2.26
anonymous
  • anonymous
I am sure the real mathematicians in here (of which there are many) would explain it far better than me.
anonymous
  • anonymous
However for the moment, I calculate 3^ 2.26=11.97551049 which is approximately 12
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
You are welcome @wagnermar, actually its lovely to get revision of logs!
anonymous
  • anonymous
P.S. if you see an equation of the form 3^x = 12 (this is known as an index equation) then just apply the method I showed you and you will be able to solve in future!
anonymous
  • anonymous
Ok thanks :)

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