Question

Math help
Write 3^x =12 in logarithmic form

Write in 7=x in exponential form

Answer 1

Logs simply answer the question "what power must 3 be raised to to get 12?"
log 3^x =12

Answer 2

4?

Answer 3

OK if y= b^x then log to the base b of y = x

Answer 4

Example: if 100= 10^2 then log to trhe base 10 of 100 = 2

Answer 5

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

Answer 6

I am sure the real mathematicians in here (of which there are many) would explain it far better than me.

Answer 7

However for the moment, I calculate 3^ 2.26=11.97551049 which is approximately 12

Answer 8

Thanks

Answer 9

You are welcome @wagnermar, actually its lovely to get revision of logs!

Answer 10

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!

Answer 11

Ok thanks :)