Question 1084309
1 + log3(5) is equivalent to 1 + log(5)/log(3)


you can use your calculator to see that the result is 2.464973521


the major concept used was:


loga(x) = logb(x)/logb(a)


this translates to log(x) to the base of a is equal to log(x) to the base of b divided by log(a)to the base of b.


that's the log base conversion formula that is widely used to convert any non-standard log base that can't be solved by the calculator to a base that can be used by the calculator.


those bases are the base of 10 which is the LOG function of the calculator, and the base of e which is the LN function of the calculator.


you can convert to either one and get the same answer.


example:


1 + log3(5) = 1 + log(5)/log(3) = 2.464973521


1 + log3(5) = 1 + ln(5)/ln(3) = 2.464973521