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Algebra: Logarithm

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Question 193015: Hello tutor,
Here is the problem:
Is log (ab)= log(a) * log(b)a true statement?
1. choose 2 positive values for a and b, then compute using formula.
2. Explain why or why isn't the statement true

Click here to see answer by Alan3354(6059)

Question 193116This question is from textbook Basic Technical Mathematics
: I need help with this problem. Directions is solve for y in terms of x.
log10y = log10 7-3 log10(x-7). This is what I have done.
log10y = log10 7-3 log10 (x-7). I canceled out the log10 and was left with.
y=x/3 then convert to y=x3. Is this correct? This question is from textbook Basic Technical Mathematics

Click here to see answer by Alan3354(6059)

Question 193119: I need to solve this problem. 4(7-3x)=1/16
Do I need to put in logarithimic form first? log4(7-3x)=log-16
Please help, I'm not sure!
Click here to see answer by Alan3354(6059)

Question 193122: This is a problem I am having a hard time doing. log(x+9)=1-logx
Click here to see answer by RAY100(1637)

Question 193123This question is from textbook Basic Technical Mathematics
: Hello Tutor,
The directions is to solve the equation. 4log4+logx=6
I have log4^4+6logx here is where I am having trouble.This question is from textbook Basic Technical Mathematics

Click here to see answer by nerdybill(2446)

Question 193127This question is from textbook Basic Technical Mathematics
: Hello Tutor,
This problem is confusing me. 4^x+5=e^5x The directions is to solve. We are in a chapter of logarithm. Please help!This question is from textbook Basic Technical Mathematics

Click here to see answer by stanbon(26252)

Question 193161: Hello.
I'm needing some help with checking the following problem:
sketch the graph of the function
f(x) = log3x
thanks!
Click here to see answer by Alan3354(6059)

Question 193260This question is from textbook Basic Technical Mathematics
: Hi Tutor,
I am stuck on this problem. ln(x+2)-ln(4)=-ln x
Do I take the ln of 2 and subtract the ln of 4? I don't know what else to do to solve thi1s.
Thank you
This question is from textbook Basic Technical Mathematics

Click here to see answer by nerdybill(2446)

Question 193252: if $350 is deposited in an account paying 2% annual interest, compunded continuously, how long will it take for the account to increase to $1500?

A=Pe^rt
1500=350e^.02(t)
then im lost...
Click here to see answer by MathGuyJoe(20)

Question 193270: 5^(x-1)=3^x Find x I tried to solve using log and i couldn't find x. Can anybody help on this? Thank you~!
Click here to see answer by jim_thompson5910(13786)

Question 193254This question is from textbook Basic Technical Mathematics
: I am totally confused with this word problem about exectric current i in a circuit containing a resistance R and an inductance L given by ln i/I=Rt/L. t is the time (in seconds) and I is the current at t=0. Calculate in seconds it take the current to reach 0.600 of the initial value if I=0.584A, R=7.44 olms and L=1.41H.
Please help!This question is from textbook Basic Technical Mathematics

Click here to see answer by ejazali_syed(7)

Question 193195: 4(3x)=12 and that is four to the third power x
Click here to see answer by nerdybill(2446)

Question 193251This question is from textbook Basic Technical Mathematics
: Hi Tutor,
I am having a difficult time with this problem.
B=8600(3)^x where x is time in days. Need to find x=0 and x=5
Please help!This question is from textbook Basic Technical Mathematics

Click here to see answer by ankor@dixie-net.com(6691)

Question 193367This question is from textbook saxon algebra 2
: Write the simplest polynomial function with zeros 7+i and square root 5.This question is from textbook saxon algebra 2

Click here to see answer by solver91311(5072)

Question 193418This question is from textbook algebra 2

: 1) write the equation log 243 81 = 4/5 in exponential form. I do not understand.
2) write the equation 6561 1/4 = 9 in logarthmic form
PLEASE HELP! i just do not understand.
Thank youThis question is from textbook algebra 2

Click here to see answer by Alan3354(6059)

Question 193614: When you solve a logarithmic equation, why is it important to always check your solution by substituting the solution(s) into the original logarithmic equation?
Click here to see answer by stanbon(26252)

Question 193621: Below are two earthquakes with the magnitudes in Richter's Scale. How many time more powerful is the Chile earthquake than the California?
1960 – Chile magnitude 9.0
1994 – California magnitude 6.5
Click here to see answer by Mathtut(3670)

Question 193628: A radioactive substance that has a half-life of 8 days is to be temporarily implanted in a hospital patient until three-fifths of the amount originally present remains. How long should the implant remain in the patient?
Click here to see answer by ankor@dixie-net.com(6691)

Question 193620: log base 4 (x-4) + log base 4 (x-2) = log base 4 35
Click here to see answer by nerdybill(2446)

Question 193635: Mr. Logarithmic is showing his class a solution to a problem. Is Mr. Logarithmic correct? Explain and correct if he is incorrect. Express 2log25 - log2(4/5) + 1/2log216 as a single logarithm = 2log25 - log2(4/5) + 1/2log216 = log252 - log2(4/5) + log2(16/2) = log225 - log2(4/5) + log2(8) = log2(25 × 4/5 × 8)

Click here to see answer by Alan3354(6059)

Question 193653: log(x+1)+log(x-2)=1
Click here to see answer by Alan3354(6059)

Question 193653: log(x+1)+log(x-2)=1
Click here to see answer by josmiceli(3003)

Question 193652: log4(x)+log4(x-6)=2
Click here to see answer by nerdybill(2446)

Question 193837: Hello Tutor- please help!
Rewrite log (base 5) 3p- log (base 5) 5q as a single logarithm.
Click here to see answer by Alan3354(6059)

Question 193837: Hello Tutor- please help!
Rewrite log (base 5) 3p- log (base 5) 5q as a single logarithm.
Click here to see answer by solver91311(5072)

Question 193996: Solve the logarithmic equation:
Log base 4(2x+1)= Log base 4(x-3) + Log base 4(x+5)
Click here to see answer by solver91311(5072)

Question 194067: Express as an equivalent expression that is a single logarithm and if possible simplify:
log(a)(x+y)+log(a)(x^2-xy+y^2)
Click here to see answer by stanbon(26252)

Question 194081: 1. 4 ln x = 5
2. log (x-9) = 1 - log x
have trouble solving this two problems
Click here to see answer by stanbon(26252)

Question 194114: express as an equivalent expression that is a single logarithm and if
possible simplify.
log(a)2x+3(log(a)x-log(a)y)

Click here to see answer by nerdybill(2446)

Question 194059: express as an equivalent expression that is a single logarithm and if possible simplify:
log(a)2x+3(log(a)x-log(a)y)
Click here to see answer by nerdybill(2446)

Question 194205: Simplify each of the following to a single logarithm:
(i) 2log 5x – log x
Click here to see answer by nerdybill(2446)

Question 194212: log x = log6 36 + log81 9 – log2 4

Click here to see answer by nerdybill(2446)

Question 194210: Simplify each of the following to a single logarithm:
1/2log(4x^2)+5log3x-log2
Click here to see answer by nerdybill(2446)

Question 194220: logx (2x + 5) = 2
Click here to see answer by nerdybill(2446)

Question 194232: log4 (x+3)=4
Click here to see answer by nerdybill(2446)

Question 194257: Solve:
log(6)(x+7)-log(6)(x-2)=log(6)5
Click here to see answer by nerdybill(2446)

Question 194361This question is from textbook Finite Math and Applied Calculus
: Help! Urgent!
Can anyone help me?
log (base 5) then 5^4
This question is from textbook Finite Math and Applied Calculus

Click here to see answer by jim_thompson5910(13786)

Question 194384This question is from textbook mathematical analysis
: Solve ln(x+2}= 5-x. Round the answer to two decimal places.
In full details please, Thank you.This question is from textbook mathematical analysis

Click here to see answer by Edwin McCravy(2920)

Question 194392: Solve: 3Inx=-3
I know that it can translate into Inx^3=-3 but from there I am lost.
Click here to see answer by stanbon(26252)

Question 194393: Solve:
log(5)sqrtx^2-9 =1
Click here to see answer by stanbon(26252)

Question 194385This question is from textbook mathematical analysis
: In one city, the population P grows at the rate of 2% per year. The equation P= 1,000,000 (1.02)^t gives the population t after 1998. Find the value of t for which the population is 1,500,000. Give the answer to the nearest tenth.
Please with full details
Thank you :)This question is from textbook mathematical analysis

Click here to see answer by stanbon(26252)

Question 194473: Find (fog)(x), where f(x)=√x and g(x)=1/x
Click here to see answer by jim_thompson5910(13786)

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