precalc
posted by Katie
I don't understand how to do these w/o calc.
I tried to write it in a way that will make someone understand how to read it. Hope I typed it clear enough.Thanks so much for the help anyone!
How to find the exact value of logarithm:
10. log5^100 log5^4
11. log4^8 +log4^8
12. log squareroot 100
13. log4^40 log4^10
19. log 3^20.25 +log3^4
22. 7 log2 ^16 +log2 (1/16)
27. log 2 +log 5log 10
31. 2 ln e^6 ln e^5
36. log 100 + log 10,000

Damon
log5 (25)
5^(log5(25) = 25
but
5^2 = 25
so
log5(25) = 2 
Reiny
you must memorize the 3 main rules of logs
1. log (AB) = log A + log B
2. log (A/B) = logA  logB
3 log (A^n) = nlogA
for any base of the log as long as the base is the same throughout the equation
e.g.
#22
7log 2^16 + log (2^(1/16)) , I assumed a typo here
= 7(16)log 2 + (1/16)log 2
= (1793/16) log 2
#11
log 4^8 + log4^8
= log (4^8 * 4^8)
= log 4^16
or
= 16 log4
Respond to this Question
Similar Questions

arithmetics
ok i understand now what 3/4 means and i know what 1/2 of a cup is but what does 3/4 of a cup mean. You can do it with blocks but not with how much is in the cup. I don't understand. will someone help me? 
PHILOSOPHY REPOST
need to apply the moral theory of rule utilitarianism in my essay but i don't really understand what it is. i tried google and wiki but it doesnt really provide me with clear meaning, or examples. could someone please explain to be … 
History
I had to read a couple of creation myth stories for my history class, and now I have to write an essay on them. I understand mostly why they are important, but I'm failing to understand the role that nature plays in them. Can someone … 
Sociology
Will someone please explain gender stratification. I have tried to read about it online, but don't exactly understand what it is. Most websites want you to pay to read the articles or essays. Thanks. 
English schools of literary criticism
Hi there, I've really been trying to understand the theory of postmodern criticism and modern criticism, but I still can't seem to understand what it is. I've been researching on the web, & it's still not very clear. I hope someone … 
geometry
i have 2 questions but i can't copy the figure for you to understand the problem. is there a way to scan it attach it and sent it to someone so I can understand? 
Critical Reading
Can someone please help me with this question? 
Math
Why does the division of zero equal one? I just do not understand the process. I've researched it and I have read the responses, but I do not understand them. Can Someone explain it further? 
Ethics
I have to read the essay "Some Moral Minima" by Lenn Goodman. I have tried to read this a zillion times and I don't know if it's my ADD or what, but I cannot wrap my mind around this unless I sit and look up each word out of the dictionary. … 
ela
is there another way of saying better understand?