You convert the log base 5 to base 10 by using the change of base formula. it just becomes log(63)/log(5). Then you raise 5 to that power and get 63.
You can log your entire equation to bring down the exponent. Just remember that you have to also raise the entire equation to the power of 10. Ignore the 'e' I put, for log you raise to the power of 10 instead of e.
^so everywhere you see 'e' replace it with 10 because I messed up initially. Now to answer dark realities question. Here is why when you divide any number by zero you get Infiniti. Imagine the function 1/x where you can put any value for x. The smaller value that you put for x, the larger the function becomes. Example: if x is .2 then 1/.2 is 5 and if x is 1 then 1/1 is 1. The smaller the denominator, the larger the number you have. This means that if you divide by an infinitely small denominator (zero) you get Infiniti. Remember, the two ways to make a number bigger are to either make the numerator bigger, or make the demoniator smaller. Therefore either Infiniti in the numerator or zero in the denominator will get you Infiniti. And the opposite also applies. The two ways to make a number smaller is to decrease the numerator or increase the denominator. Therefore 1/Infiniti is zero also. Or zero in the numerator is of course zero unless you have 0/0 in which case the world blows up.
I want to know as a curiosity question what you guys think of when you think of the two words "math club?"
That's ok lol I think of it as 'nerdy.' probably because of all of the tv shows or movies that describe math clubs as nerdy organizations
Btw I will be joining my school's math club next semester I looked at the photo gallery online and they all look super nerdy. They also have monthly problem set competitions which I have no desire at all to do But the reason I am joining is because at each meeting (meetings are once a week) they have guest speakers which are either math professors or people who have a career in math and most have a PhD and talk about their career in math. They also talk about research and how students can get involved in research on campus which I may be interested in But yea I am looking forward to learning more about math careers since I just switched my major but I hope the club isn't totally nerdy