Question 999850
couple of ways to solve it.


one way:


convert from log form to exponent form and then solve and then convert back to log form.


log3(729) = x if and only if 3^x = 729


through iteration it was determined that x = 6


you get 3^6 = 729


this is true if and only if log3(729) = 6


you get x = 6.


it won't always be that easy because the exponent is not always an integer, so the better way is through the use of a calculator and the log base conversion formula.


log3(729) = x


convert log base to 10 or e because those are the log bases that your calculator can handle.


log base 10 is the log function key on your calculator.


log base e is the ln function key on your calculator.


the conversion formula for log base 10 is:


log3(729) = log(729)/log(3)


the conversion formuls for log base e is:


log3(729) = ln(729)/ln(3)


both will get you the correct answer.


log(729)/log(3) = 6


ln(729)/ln(3) = 6