Algebra 2 once more
posted by Lindsay .
I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :)
Rewrite as the log of a single number.
1) 8 ln 2 = ln(2^8)
2) log 42  log 6 = log 36 (I think this one may be wrong).
Evalute each expression w/o a calculator.
3) log(subscript 12) (superscript 5)square root of 12 = 0.2
4) log(subscript 6) 216 = 3
The one I'm not sure how to do looks like this: log(subscript 4)s^3 = 8. I'm supposed to solve for s. It would be great if someone could show me the steps for how to solve it.
#1 is right
#2, no
log A  log B = log (A/B)
so log 42  log 6 = log 7
#4 is good
#5..... is this what you mean? (log_{12} √12)^{5} ?
if so, then you would have (1/2)^5
= 1/32
for log(subscript 4)s^3 = 8
4^8 = s^3
s^3 = 65536
s = appr. 40.317 (I took the cube root)
Actually, the 5 is before the square root symbol. I'm just not sure how to type it out...!
then my interpretation was right
remember that
log^{2} x is the same as (log x)^{2}
Riiight ok I remember that now. Thanks again for the help. :)
Respond to this Question
Similar Questions

Precalculus
I'm studying for my precalc exam and have completed 42 practice problems. I have 3 I need to answer that I can't. Please help. What is the base of the function G(x) = log subscript b x if it's graph has points (16,4)? 
More Algebra 2
It would be great if, again, someone would check these answers for accuracy. I'd like to know if I'm doing them right. 1) What equation defines an exponential decay function? 
Intro. to Comp.
Would you please go to page 2 and look under "intro. to comp." and check the questions and my answers? 
Algebra
I have one more question I need to ask about algebra, this one is a perform the indicated operation question. 4x 5x    x^29 x^2+4x+3 I am really confused on the +3 part, I don't know if my teacher made a typo or what, … 
BPC110
Hello, I am trying to use APA format. I did some short answers and found answers in my text book, and there are 3 authors. I am just very confused if I do in cite notation, put the citation at the very bottom of each question I answered, … 
AlgebraDid I even begin correctly?
How would I write log(6)272log(6)3 as a single logarithm Would I start by getting rid of the (2) I know its the same log6 but what would I do with the 27 and the 3 I'm really confused on this one and I have to solve several similar … 
com170
I believe this paragraph below is a Analysis I have to pick between summary,analysis, synthesis, and evaluation can you tell me if i am right and if not which one and why? 
com 170
I believe this paragraph below is a Analysis I have to pick between summary,analysis, synthesis, and evaluation can you tell me if i am right and if not which one and why? 
PreCalc
I know about Descartes Rule but I don't really get how to figure this outPlease check my answers I don't get this one find number of possible positive and negative real roots of f(x) = x^4x^3+2x^2 + x5 I think there are 3 sign … 
Algebra 2/Trig
I've done every other single question besides this one. (There was 12). I'm stumped and would really appreciate some help! I have to simplify this: 5/3sqrt(34) I am not sure if you have to conjugate the denominator and multiply it …