Which logarithm equation is equivalent to the exponential equation below? 3^c=27

taking the log3 of both sides:


the log on the left disappears because log3 looks for the exponent of 3 to get the number 3^c. this exponent is therefore c.

the log on the right disappears because 3^3=27. so we know that log3(27)=3

another way to write this is:

which gives you the same answer