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anonymous
 one year ago
Math help
Write 3^x =12 in logarithmic form
Write in 7=x in exponential form
anonymous
 one year ago
Math help Write 3^x =12 in logarithmic form Write in 7=x in exponential form

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Logs simply answer the question "what power must 3 be raised to to get 12?" log 3^x =12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK if y= b^x then log to the base b of y = x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Example: if 100= 10^2 then log to trhe base 10 of 100 = 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0generally 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
 one year ago
Best ResponseYou've already chosen the best response.0I am sure the real mathematicians in here (of which there are many) would explain it far better than me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0However for the moment, I calculate 3^ 2.26=11.97551049 which is approximately 12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You are welcome @wagnermar, actually its lovely to get revision of logs!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0P.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!
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