Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 633754: Determine whether the relation is a function.
{(-2, -7), (3, -5), (6, -4), (9, -6), (10, -1)}

Click here to see answer by MathLover1(6611)

Question 634062: Find the common logarithm by using the calculator. 1.174^-4. I am nor quite sure how to set this up in order to use the calculator. Any help would be greatly appreciated. Thank you
Click here to see answer by Alan3354(30945)

Question 634065: http://prntscr.com/d1qng (See the screenshot)
Click here to see answer by jsmallt9(3296)

Question 634207: I need help solving for x algebraically.
(log base 3(x-4)) = (log base 3 (x-2)) =1
I am so lost. I thought I could cancel out logs ad get
x^2 -2x -4x -8 = 3^1
x^2 -6x -11 =0
hm.... help?
Click here to see answer by Alan3354(30945)

Question 634223: : I need help solving for x algebraically.
(log base 3(x-4))+(log base 3 (x-2)) =1
I am so lost. I thought I could cancel out logs ad get
x^2 -2x -4x -8 = 3^1
x^2 -6x -11 =0
hm.... help?
Click here to see answer by ewatrrr(10682)

Question 634202: I would like help with this question please
(2log base 2 (x-6)) - (log base 2 X)= 3
I am lost.
Click here to see answer by ankor@dixie-net.com(15622)

Question 634321: multiply (x + 6 )(x2 + 3x – 4)
Click here to see answer by lwsshak3(6459)

Question 634412: Hello. I got these questions and I really could use some help.
1. 6e^(1-x)+1 = 21
2. 4x + 2e^(2y) -8 = 0.

Withe the first one, I got as far as the fraction:
lne^(1-x) = ln 20/6
Please help.
Click here to see answer by Alan3354(30945)

Question 634442: log (2x+1) base 2 - log (x-1) base 2 = 3
Click here to see answer by lwsshak3(6459)

Question 634442: log (2x+1) base 2 - log (x-1) base 2 = 3
Click here to see answer by stanbon(57214)

Question 634442: log (2x+1) base 2 - log (x-1) base 2 = 3
Click here to see answer by MathTherapy(1420)

Question 634480: solve 3e^x=19..
Click here to see answer by jim_thompson5910(28476)

Question 634491: express as single log..
(log base c 8) (log base 32 c)
Click here to see answer by stanbon(57214)

Question 634548: I'm lost - I saw a math tutor today but he got side tracked and I'm just more confused. Here is the problem:
Solve the inequality log (base x) 5 < log (base 5) x
remember that x>0 and x≠1
rewrite each logarithm in terms of a common base, move both expressions to the same side of the inequality so that everything is being compared with zero. find a common denominator to combine the two expressions. Find the critical values of the combined expression, that is, find the values of x that make the numerator equal 0 and the values of x that make the denominator equal zero, find these values algebraically. I can muddle through some of this but I'm also required to detail out "why" I'm doing each step... I don't know how to describe the how and why in words.
Click here to see answer by jsmallt9(3296)

Question 634485: t=-62.5ln(1-n/80)= solve for n
Click here to see answer by jsmallt9(3296)

Question 634580: Hello.
I recently got this question and I would really appreciate it if someone could tell me if it's correct:
Solve for x in, log(base x)(5 + 3x - x^2) = 2
my solution:
x^2 = 5 + 3x - x^2
x^2 + x^2 = 5 + 3x
2x^2 = 5 + 3x
2x^2 - 5 - 3x = 0
2x^2 + 2x - 5x - 5 = 0
2x(x + 1) - 5(x + 1) = 0
(2x - 5)(x + 1) = 0
---------------------------------------------
Therefore x = 5/2 OR x = 1
Is this correct? Thanks in advance.
Click here to see answer by ewatrrr(10682)

Question 634581: Solve for X:
log 16 (1/4) = x
I know b= 16 and y = 1/4 but can't seem to figure this problem out. Thank you
Click here to see answer by stanbon(57214)

Question 634596: Solve for X
log x ^4 = -1/3

Having a really hard time with this one. Please help. I have tried a few different ways but I know it is not right. Thank you
Click here to see answer by stanbon(57214)

Question 634689: I'm not really sure how to approach these questions:
log(base 3)(2x^2 + 4) ......Solving in terms of common log
...And...
Log(2x - 1) - log(4x + 3) = 1 ........Solving for x.
_________________________________________________________
I have two textbooks and neither of them show examples of how to work similar problems, please help.
Click here to see answer by Alan3354(30945)

Question 634678: The loudness, b, of sound measured in decibals is defined by the equation
b = 10 log [I/Io]
where "I" is the intensity of the sound and "Io" is the minimum intensity detectable. Show that, if the difference in loudness of two sounds is "d" decibels, the louder sound is 10^d/10 times more intense then quieter sound.
Click here to see answer by jsmallt9(3296)

Question 634754: If the point (3,10) is on the graph of y=a^x, what is this point on the graph of y=log(base)a X
I am confused and need help. I dont even know where to start. Can you help?
Click here to see answer by lwsshak3(6459)

Question 634750: What is the inverse function of
f(x)= 3^(x-1) -2

I thought I would get
x= 3^y-1 -2
then x+2 =3^y-1
then logs but I am confused
Click here to see answer by lwsshak3(6459)

Question 634751: What is the y intercept of
y= log(base)4 (2x +1) -3
I get 63 but I think that number is too big
Click here to see answer by lwsshak3(6459)

Question 634748: I am not sure how to determine b:
y=log(base)b X
when it passes through the point (729,6) determine b
please help, thank you
Click here to see answer by jsmallt9(3296)

Question 634906: Use the definition of logarithm to simplify each expression.log 5 b(5 b)
Click here to see answer by Alan3354(30945)

Question 634897: wich value of x makes the denominator of f(x) =6/-5+5?
Click here to see answer by jim_thompson5910(28476)

Question 634955: log[10]√(10)
Click here to see answer by Alan3354(30945)

Question 634959: 9log[9](10)
Click here to see answer by Alan3354(30945)

Question 634953: If the point (3,10) is on the graph of y=a^x, what is this point on the graph of y=log(base)a X ?
I am confused and need help. I dont even know where to start. Can you help?
Click here to see answer by jim_thompson5910(28476)

Question 634999: log base 9 cubed root of 3
Click here to see answer by jsmallt9(3296)

Question 634999: log base 9 cubed root of 3
Click here to see answer by MathTherapy(1420)

Question 635155: Log base 3 (square root of x over 27) need the sum or difference of logarithms. express powers as factors
Click here to see answer by ewatrrr(10682)

Question 635234: 3^log(base 3) 25
Click here to see answer by Tatiana_Stebko(1326)

Question 635212: Simplify
log2 2√5

log5 5√7

Click here to see answer by Tatiana_Stebko(1326)

Question 635193: How to find log (5,512) ? i.e., log 512 to the base 5.. log 2 base 10 =0.3010 and log 3 base 10=0.4771 are provided.. Help me to solve this prob without using log table and calculator..
Click here to see answer by jsmallt9(3296)

Question 635297: Rewrite expression as a single logarithm:
log(2x-6)-3log(x-3)
Click here to see answer by stanbon(57214)

Question 635297: Rewrite expression as a single logarithm:
log(2x-6)-3log(x-3)
Click here to see answer by lwsshak3(6459)

Question 635445: Thank you so much for helping in this problem! And thank you for your time!
Could you please guide me through this?
Give an exact and decimal answer.
2^x = 9.

Thank you!
Click here to see answer by Tatiana_Stebko(1326)

Question 635461: I have to use the properties of logarithms to rewrite the expression as a single logarithm.
4log(small m)x-7log(small m)q^2
please help, thank you :)
Click here to see answer by ewatrrr(10682)

Question 635464: By measuring the decay of radioactive carbon-14, scientists can
estimate the age of the remains of living things. Carbon-14 decays at
a rate of 0.0121% per year (or retains 99.9879% of its radioactivity).
a. Write a rule for the function that gives the amount of a 5-mg lab
sample remaining t years after its mass is first measured.
b. Find the half-life of carbon-14.
Thank you so much! Also, thank you for your time in helping me!
Click here to see answer by ewatrrr(10682)

Question 635470: log[4](x-8)=log[4](x-8)=1
I need to solve the equation algebraically
Thank you!
Click here to see answer by stanbon(57214)

Question 635470: log[4](x-8)=log[4](x-8)=1
I need to solve the equation algebraically
Thank you!
Click here to see answer by ewatrrr(10682)

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