# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 166457: Hi, I am trying to find a solution to the following equation: log 4x = log 8 + 1. My instructor told me to move it to be: log 4 x - log 8 = 1. He said then to use the properties to write the equation as a single log. The next step was to re-write into exponential form and solve. I have tried all the methods I have used in class (one to one method, etc.) but we have not done a problem exactly like this one. I have looked and looked and cannot find a problem like this and it is driving me crazy. If you could show me an example of a problem like this, it would be appreciated. Thanks in advance! Click here to see answer by Personal Trainer DC(4)

 Question 166486: I don't understand what I need to do here: If log(x)=2.9 and log(y)=2.4, how do x and y compare? The teacher gave us this problem, it is not from a book Click here to see answer by nerdybill(7008)

 Question 166638: Solve each equation for x A. 27^X=3^X+1 B. e^3x-1=12 C.log(x+3)-log x=log 2 D.log5 X+ 2log5 X=3 E.ln(X+5)-ln 3=0 Click here to see answer by jim_thompson5910(28715)

 Question 166740: log(x^2-x-5)= 0 I canot figure out the way to solve this. I looked at the example in my book and it was not clear. Solve for x my guess is to complete the square, but i am not sure how to do this Click here to see answer by nerdybill(7008)

 Question 166760: log(x+8)+ log(x-1)=1 not quite sure how to do this. My guess is to distribute the log then solve for x. Click here to see answer by vleith(2825)

 Question 166764: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the: (a) Annual growth rate (b) Continuous growth rate Round your answers to 3 decimal places. (a) The annual growth rate is X %. (b) The continuous growth rate is X%. PLEASE!!! Click here to see answer by josmiceli(9817)

 Question 166778: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the: (a) Annual growth rate (b) Continuous growth rate Round your answers to 3 decimal places. (a) The annual growth rate is %. (b) The continuous growth rate is %. Click here to see answer by stanbon(57967)

 Question 166859: Rewrite the following Expression using one or more Logarithms and evaluate without a calculator. Log5 125 + log5 5= Click here to see answer by ankor@dixie-net.com(15746)

 Question 166882: So here is my problem: Solve: log(base 7)4x-log(base7)(x+3)=log(base 7)x Click here to see answer by nerdybill(7008)

 Question 166858: rewrite the following Expression using one or more Logarithms and evaluate without a calculator. Log ( 1/10^-3) + log 10^4 = Click here to see answer by nerdybill(7008)
 Question 166858: rewrite the following Expression using one or more Logarithms and evaluate without a calculator. Log ( 1/10^-3) + log 10^4 = Click here to see answer by ankor@dixie-net.com(15746)

 Question 166861: Rewrite the following Expression using one or more Logarithms and evaluate without a calculator. Log ( 1/10-5)= Click here to see answer by Alan3354(31529)

 Question 167201: log base 5(3x-1)- log base 5 (2x+7)= 0 I could not figure out what to do for this problem. Click here to see answer by Earlsdon(6294)

 Question 167147: How do you multipy a logarithmic function by a logarithmic function? This is what I am stuck on: (log base 12(log base 2 x))= 3 X is not included in the base. Click here to see answer by scott8148(6628)

 Question 167210: log base 6 (3x-2) + log base 6 (x-3)=1 i worked out this problem, and got an incorrect answer. Click here to see answer by scott8148(6628)

 Question 167293: Hi, Can You Please Help? Express as a single logarithm, . log b + 3 log c - 5 log d - 10 log f . Thanks ahead of time, Levi Click here to see answer by Alan3354(31529)

 Question 167347: Please help. Fill in the blank to make the statement true. To solve 7^x=30, we can take the logarithm of each side of the equation to get log(7^x)=log(30). The power rule for logarithms would then provide a way of moving the variable x from its position as an ___________to the postion of a coefficient. log function negative value base none of these exponents Click here to see answer by stanbon(57967)

 Question 167539: Hey. How do I solve this problem? I cant remember how to do it. Log base 2(log base 2(8 squareroot 2)) Click here to see answer by nerdybill(7008)

 Question 167540: How do I solve this problem. 8=3^7x-1 I am pretty sure you have to go log base3(8)=7x-1 but i dont know what to do from there. Please help! Thank you Click here to see answer by sowmya(32)

 Question 167606: 10^3x-1 = 9 (Estimate the answer rounded to 3 decimal places) Thus far I've come up with: Log(base 10) of 9 = 3x-1 and then I'm stumped Click here to see answer by Fombitz(13828)

 Question 167685: Use the properties of to write the following as single logarithms A) log100-1/3logy+1/2logz B)-3/2logu-logs+3logr+logt use the properties of logarithmsto solve exactly the following equations A) logx(27)=3 B) log(x+2)-log(x-1)=log(4) Click here to see answer by stanbon(57967)

 Question 167703: In general, how do I find the logarithm of the answer ex: evaluate 1776^53 I can get 53 Log 1776 = log x, but what is next? Click here to see answer by stanbon(57967)
 Question 167703: In general, how do I find the logarithm of the answer ex: evaluate 1776^53 I can get 53 Log 1776 = log x, but what is next? Click here to see answer by Edwin McCravy(8999)