Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 606679: log(baseb) (radical a/c)
Log(b)(sqrt a/ c)
log(baseb)a=10
log(baseb)c=4

Click here to see answer by solver91311(16885) About Me 

Question 606711: Log 5 (1/125)=x-1 can someone help me solve for x?
*note, the "5" is supposed to be the little number that hangs beside the log and the "(1/125)" is supposed to be the big number beside it but I didn't know how to make it look like that on here.

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Question 606720: Please help me solve this:
log(x-3)=1-log(x)

Click here to see answer by lwsshak3(6505) About Me 

Question 606723: Can you help me solve 2^2x+1=15 for x.
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Question 606667: The population in Cleveland (in thousands) can be modeled by the equation
P(t)=22e^0.014(t)
What is the doubling time of Cleveland's population to the nearest month?
I understand how to do these when you have a population number, but this question doesn't. Help please!

Click here to see answer by lwsshak3(6505) About Me 

Question 607049: Use the rational zeros theorem to find all the zeros of the polynomial d(x)= 4X^3-4X^2-7X-2. Use the zeros to factor d over the real number. Be sure to state all the potential rational zeros as well
Click here to see answer by lwsshak3(6505) About Me 

Question 607043: write the expression 1/3ln(x^2+1)-4ln3-5[ln(x-4)+lnx] as a single logarithm.
Click here to see answer by lwsshak3(6505) About Me 

Question 607047: write the expression 1/3ln(x^2+1)-4ln3-5[ln(x-4)+lnx]
Click here to see answer by lynnlo(4164) About Me 

Question 607150: solve log x+log(x+21)=2
Click here to see answer by ewatrrr(10682) About Me 
Question 607150: solve log x+log(x+21)=2
Click here to see answer by jim_thompson5910(28595) About Me 
Question 607150: solve log x+log(x+21)=2
Click here to see answer by Gogonati(809) About Me 
Question 607150: solve log x+log(x+21)=2
Click here to see answer by lawdej(58) About Me 

Question 607265: Contract the expression. That is, use the properties of logarithms to write each expression as a logarithm with a coefficient of 1. ln(3)-2ln(4+8)
Click here to see answer by lynnlo(4164) About Me 

Question 607289: Graph the function q(x)= -x^2-10x-16 by first:
a) determine whether it opens up or down
b) finding its vertex and axis of symmetry
c) finding its x- and y- intercepts and a few more points to connect the graph

Click here to see answer by lynnlo(4164) About Me 

Question 607316: logx64=3
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Question 607337: Rewrite 2 log(5x) + 4 log(3x) - 2 log(45x) as one simplified logarithm.
Click here to see answer by ewatrrr(10682) About Me 

Question 607288: Graph the function f(x)= -x, X<3,
3x-4, x>= 3
a) fund the domain
b) locate any intercepts
c) graph the function
d) find the range
e) is f continuous on its domain?

Click here to see answer by KMST(1868) About Me 

Question 607285: Use the function f(x)= 4 +ln(3x) to :
a) Find the domain of f
b) graph f
c) states any asymptotes of f
d) find the f^-1, the inveerse of f
e) Use f^-1 to find range of f
f) Graph f^-1

Click here to see answer by ewatrrr(10682) About Me 

Question 607403: Solving exponential equations with logs.
Help Me understand this!
5^x+2=10^2x

Click here to see answer by lynnlo(4164) About Me 

Question 607415: I would like to know now to rewrite the expression log(10000), in terms of log(2) and log(5).
Click here to see answer by lynnlo(4164) About Me 

Question 606592: Hello iam currently taking a college algebra class and my professor gave me this bonus problem y=log9(log 8(log 7(log 6(log 5(x)))))) and find the domain of dy/dx. i have no idea where or how to begin this problem any help is appreciated.
Click here to see answer by richard1234(5390) About Me 

Question 607506: Write ln(x) - ln(100) = -.08t in an exponential form that is free of logarithms.
Click here to see answer by nerdybill(6958) About Me 

Question 607504: Solve each Equation for X (Exact answers, no decimals, Show work)
(a)
x^2e^x-5xe^x = 0
(b)
10^logx = 33
(c)
logxe^5 = 5
(d)
lne^(2-x) = 12
(e)
logx + log(3x-13) = 1

Click here to see answer by richwmiller(9135) About Me 

Question 607344: write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.)
log8.9(124)
give a calculator approximation (correct to four decimal places)

Click here to see answer by jsmallt9(3296) About Me 

Question 607629: Solve the equation for x (Show work) Exact answers (no decimals)
10^logx = 33

Click here to see answer by Yemi(10) About Me 

Question 607657: how do I solve 3^x=0.4 when using natural logarithms
Click here to see answer by jerryguo41(162) About Me 

Question 607674: e3=t

Click here to see answer by Alan3354(30993) About Me 

Question 607677:
Click here to see answer by jim_thompson5910(28595) About Me 

Question 607675: Hello, i just need a little help on a logarithmic problem. I am unawre of the difference between ln and log.
the problem is:
ln 5+(1/2)ln y-3ln(z+1)
and the problem says 'rewrite expression as a single logarithm.
thanks for your help

Click here to see answer by jim_thompson5910(28595) About Me 

Question 607627: Solve the equation for x (Show work! Exact Answers)
x^2e^x - 5xe^x = 0

Click here to see answer by jim_thompson5910(28595) About Me 

Question 607755: Solve the logarithmic equation.
log5(x - 2) = 2 + log5(x - 4)

Click here to see answer by jsmallt9(3296) About Me 

Question 607844: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)=-x^2+64x+72, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
Click here to see answer by ewatrrr(10682) About Me 

Question 607678: a food is dropped on the floor and is growing bacteria exponentially according to the model y=2e^kt where t is time in seconds
if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria and frind how much bacteria is on the food after 5 seconds

Click here to see answer by ankor@dixie-net.com(15652) About Me 

Question 607839: solve the equation. express irrational answers in exact form and as a decimal rounded to 3 decimal places.
A) (4/3)^x=3^(1-x)


B) ln(x)+ln(x+5)=-1

Click here to see answer by lynnlo(4164) About Me 

Question 607874: Factor 16b^6-2d^6
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Question 607927: logx + log(3x-13) = 1
Click here to see answer by jsmallt9(3296) About Me 

Question 607582: What is the answer to log5+2logx=log45 when trying to solve for x

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Question 607977: x^log2(base) x +32x^log2(base)x=18
Click here to see answer by lynnlo(4164) About Me 

Question 608037: solve log2x^12-log2x^7=33
Click here to see answer by ewatrrr(10682) About Me 

Question 608201: please solve the logarithmic equation.
log(8)^x=(4/3)
so far i have.....x=8^(4/3)

Click here to see answer by jim_thompson5910(28595) About Me 

Question 608198: please solve the logarithmic equation.
log(5)^(1/5)=(x/8)
so far i have.....(1/5)=5^(x/8)

Click here to see answer by jsmallt9(3296) About Me 

Question 608356: Use log[b]3=1.099 and/or log[b]7=1.946 to find log[b]21
Click here to see answer by solver91311(16885) About Me 

Question 608376: you are babysitting the neighbors 1 yr old and need ro give the baby a bath. the water in the tub is 120 degrees F which is too hot. you want to wait until it cools to 85 degrees F. if the cooling rate of the water is 0.074 and the room tempature is 70 degrees F, how long until you can give the baby a bath?
i have equation +T=%28T0-Tr%29e%5E%28-rt%29%2BTr+

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Question 608405: use the properties of logarithm functions to condense the expression:
log(5)+log(x)-2log(3)

Click here to see answer by stanbon(57347) About Me 

Question 608419: You deposit $2500 in an account that pays 3.5% annual percentage rate compounded monthly. What is the balance in this account at the end of 8 years?
b) After how many years does the balance reach $5,000?

Click here to see answer by stanbon(57347) About Me 

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