Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 269444: evaluate the exponential equation for three positive values of x, three negative values of x and at x=0
y=3^(x-4)
Click here to see answer by JBarnum(2044)

Question 269407: evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work.
y = 1n(x + 2). I don't know where to begin and have been trying to figure it out since Thursday.
Click here to see answer by jsmallt9(3296)

Question 269538: Express ln(x) in terms of log(x)
Click here to see answer by drk(1908)

Question 269538: Express ln(x) in terms of log(x)
Click here to see answer by Alan3354(30940)

Question 269839: The Richter magnitude (m) of an earthquake is given by the formula:
m = log A/Ao
(o is subscript for 0)
where A is the maximum amplitude of the earthquake and Ao is the constant. What is the magnitude on the Richter scale of an earthquake with an amplitude that is a million times Ao?
I know that A=1000000, but am unsure as to what to do with Ao. There isn't anything about it in my book, so I am unsure as to what to do with this particular logarithmic equation. Help explaining this would be extremely appreciated!
Click here to see answer by jim_thompson5910(28476)

Question 269873: how do yu condense the expression.?
log3-log4-log7
Click here to see answer by drk(1908)

Question 269924: e^-x=3
Click here to see answer by drk(1908)

Question 269924: e^-x=3
Click here to see answer by ankor@dixie-net.com(15622)

Question 270028: Solve:
e^x+2x=7
Any help is greatly appreciated. I'm thinking I have to use ln, but just can't put things in the right place.
Thank you
Click here to see answer by dabanfield(803)

Question 270031: Change the following base 10 numbers to their binary (base 2) equivalents.
19 __________ 39 ___________ 77 ___________
Click here to see answer by ankor@dixie-net.com(15622)

Question 270031: Change the following base 10 numbers to their binary (base 2) equivalents.
19 __________ 39 ___________ 77 ___________
Click here to see answer by josmiceli(9645)

Question 270029: Solve:
6^log base 6 (10^x)=100
Help please
thank you

Click here to see answer by dabanfield(803)

Question 270032: Change the following base 2 numbers to their decimal (base 10) equivalents.
1010 ______ 1 _____ 1011101 ________ 1010111 _______

Click here to see answer by stanbon(57214)

Question 270092: okay so i have aquestion that reads:
If Log(x+1)+log(x-1) = 5, then what expression is equal to 10 to the fith power?
Click here to see answer by edjones(7569)

Question 270122: Given log(b)5=1.2301, and log(b)7=1.4873.Can you find log(b)squrt(b^3)? Thanks
Click here to see answer by nerdybill(6948)

Question 270142: Express y in terms of x
log base 4 y=log base 2 x+log base 2 9 - log base 2 3
Click here to see answer by jsmallt9(3296)

Question 270140: why is logarithms used in finding ph vaule?
Click here to see answer by jsmallt9(3296)

Question 270120: For the equation y=ln(x+2), could you state the equation of the line asymptotic to the graph (if any)? Thanks
Click here to see answer by jsmallt9(3296)

Question 270116: State the equation of the line asymptotic to the graph (if any)
y=(1/4)^x-3. Could you help me with this please?
Click here to see answer by jsmallt9(3296)

Question 269655: Express as a single logarithm,and, if possible, simplify
Logb5x+7(logbx – logby)
Click here to see answer by jsmallt9(3296)

Question 270128: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10t," where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
Click here to see answer by jsmallt9(3296)

Question 270091: log base 2 (x+1) = log base 8 (3x). solve x.
Click here to see answer by jsmallt9(3296)

Question 269764: 8. Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the domain and the range of the function.
f(x) = 2e^x
Click here to see answer by jsmallt9(3296)

Question 269804: 10=50(1/20^(1/13)(t)
how do you get to the next step when there is a variable for an exponent with a number?
Click here to see answer by jsmallt9(3296)

Question 269657: Give the expression or equation that is equivalent to the one given.
Log21
Click here to see answer by jsmallt9(3296)

Question 267000: The amount of particulate matter left in solution during a filtering process is given by the equation P = 600(2)-0.4n, where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5.
1200, 150
600, 19
600, 150
600, 2400
Click here to see answer by yahamp(2)

Question 270229: how to change this to base 4?
log64 512
Click here to see answer by CharlesG2(828)

Question 270430: Evaluate the exponential values for three positive values of x, three negative values of x, and x = 0. Transform the second expression into the equivalent logarithmic equation; and evaluate the equation for values of x that are greater than 1, between 0 and 1, and x = 1. Show work and plot graph.
y = (1/2)^x, x = (1/2)^y
This is what I have but I don't understand what they mean by transforming the second expression into the equivalent lagarithmic equation. Can you please help me?
y = 2^-x
x = 3 y = 2^-3 = .125
x = 2 y = 2^-2 = .25
x = 1 y = 2^-1 = .5
x = 0 y = 2^0 = 0
x = -1 y = 2^1 = 1
x = -2 y = 2^2 = 4

x = -3 y = 2^3 = 8
Click here to see answer by jim_thompson5910(28476)

Question 270466: I have apparently become to reliant on my calculator. I am not sure how to show the work for this problem. Can someone please help or get me headed in the right direction?
log 2x = log 3 + log (x - 4)
Click here to see answer by ankor@dixie-net.com(15622)

Question 270648: The population growth of an animal species is described by the equation:
F(t)=700+50 log(3) (2t+1)
where t is in months. Can you help me find the population of this species in an area 13 month(s) after the species is introduced?
Thanks
Click here to see answer by josmiceli(9645)

Question 270649: Given the equation x=4^-y, can you transform this expression into the equivalent logarithmic equation, and evaluate the equation for three values (0,0.5,1,2,3)?
Thank you
Click here to see answer by Theo(3458)

Question 270798: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
log_9_x = -3
Click here to see answer by solver91311(16868)

Question 270839: This is the original equation:
x=2^-(y-2)
What I have to apply to it is the following: Transform the expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work.
I think the resulting equivalent logarithmic expression is:
log_2 (x) = -(y-2)
Am I correct? And if I am, how to go about solving this to put it in graphing form? Do I have to solve using the inverse? Any help/advice is appreciated. I really want to understand! Thanks!
Click here to see answer by jsmallt9(3296)

Question 270469: Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following.
log6 27
Here is the work I have done, can someone check it for me?
log(6) = log(2*3)
log(2) log(3) = .301 .477 = .778
log6(27) = 1.84
Click here to see answer by jsmallt9(3296)

Question 271057: Write the expression as a sum, difference, or product of logarithms. Assume all variables represent positive real numbes:
log6 {sq.root 13/9}
Click here to see answer by stanbon(57214)

Question 271046: Evaluate the logarithm:
log9 1/81
Click here to see answer by Earlsdon(6287)

Question 271055: Write the expression as a sum, difference, or product of logarithms. Assume all variables represent positive real numbes:
log6 {sq.root 13/9}
Click here to see answer by Alan3354(30940)

Question 270973: e x+ e -x=5
Click here to see answer by Alan3354(30940)

Question 271047: Write in logarithmic form:
{4/11}^3= 64/1331
Click here to see answer by papugai(18)

Question 271172: Write an equivalent expression in exponential form:

Click here to see answer by Edwin McCravy(8879)

Question 271169: Evaulate the logarithm:
log7 343
Click here to see answer by jsmallt9(3296)

Question 271170: Write in logarithmic form:
2^3=8
Click here to see answer by dabanfield(803)

Question 270396: I'm trying to convert this equation: log base 100 (1/100x). I got to Log base 100 (1) - log base 100 (100x) but I don't know the missing steps to get to: -1-log (sqrt of x)
Click here to see answer by jsmallt9(3296)

Question 271271: 2+ln(x-3)=10
Click here to see answer by jsmallt9(3296)

Question 271168: Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers:
log3 log3
t+ s
Click here to see answer by jsmallt9(3296)

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