Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 174942: log_3 x^2–((log_3)2x)=2
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Question 174944: log_2 (2m+4) – log_2 (m-1) =3
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Question 174940: Solve and check:
2logx=log32 + log2

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Question 174939: Given that log_3x=2 and log_3y=5, evaluate:
log_3 ((27(x^-2)y)

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Question 175000: how do you expand this logarithm?
log

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Question 175032: the e is the base
LOGe (-.3675)
thanks

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Question 175033: ln(-13.4)
thanks

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Question 175152: What is log(base 2)8 + log(base 2)32?
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Question 175313: I need the help on Log
Use the properties of logarithms to find the exact value of the expression.
log 21-log 7 the 3's are lower by the G's like an exponent but bottom...
3 3
I came up with the answer 1 is that correct?
log(4+x)-log(x-5)=log2 I cant find the answer as well.Uhgg
I do not have these in my book...Help

Click here to see answer by nerdybill(2446) About Me 

Question 175448: I cant find these again.....I am stuck...Can someone help me
Here is the problems and I have been at this since this morning on these..HELP
These are not in the book and I have to get this finished...Please Desparate
Write as the sum and /or difference of logs. Express powers as factors.
16. In (x+8)(x-9)^3/2 / ((x-4)^4 , x>9
The choices are :

A. 3/2In(x+8)+3/2In(x-9)-6In(x-4)
B. In(x+8)+In(x-9)+In3-12In(x-4)-In2
C.3/2In(x^2+17x-72)-6In(x-4)
D.3In(x+8)-2In(x-9)-6In(x-4)

17. In (5x)11thpowersqr1-2x/(x-3)^9 ,x>3
The choices are:

A. 5Inx+2/11In(1+2x)-9In(x-3)
B. In 5+In x-11 In(1+2x)-9In(x-3)
C. In 5 + In x +1/11 In(1+2x)-In 9 - In (x-3)
D.In 5 + In x + 1/11 In (1+2x)- 9 In (x-3)
For the given functions F and G, find the requested composite function value.
18. f(x)=sqrtover x+3; g(x)=2x; Find (fog)(2)
The choices are:

A. 2sqrt10 B. sqrt10 C. 2sqrt5 D. sqrt7 I dont know how to plug on the computer a symbol of a sqrt?

19. F(x)=2x+2;g(x)=4x^2+3;Find (g°g)(3)
The choices are:

A. 6087 B. 18 C. 80 D. 259

Find the indicated composite for the pair of functions.
(f ° g)(x): f(x)=1/(x-8), g(x)=8/3x
The choices are:

a. 1x/8-24x b. 3x/8-24x c. 8x-64/3x d.3x/8+24x

Find the domain of the composite function of f ° g.
f(x)=x+2; g(x)=8/x+4
The choices are:
a. {x⌡x not equal-6}
B.{x⌠x not equal -4, x not equal -2}
C.{x⌡x is not a real number}
D. {x⌠x not equal -4}
There is a up and down straight line between the X's...I do not know what symbol to key in for this...

Find the indicated composite for the pair of functions.
(f ° g) (x): f(x)=5/x-8, g(x)=8/3x
The choices are:

A. 15x/8-24x b. 5x/8-24x c. 15x/8+24x d. 8x-64/15x

Find the Inverse function of F. State the domain and range of F.

F(x)=3x-2/ (x+5)
The choices are:
A.f^-1(x)=5x+2/3-x;domain of f:(x/x not equal -5};range of f{y/not equal 3} between the x's they are up and down straight lines........
B. f^-1(x)=3x+2/x-5;domain of f;{x/x not equal -5};range of f:{y/y not equal 5}
C .f^-1(x)=x+5/3x-2;domain of f:{x/x not equal -5}; range of f {y/y not equal 2/3}
D. f^-1(x)=5x+2/3+x;domain of f:{x/x not equal -5}; range of f: y/y not equal -3}

Please Help..I am tearing my hair out with these.....

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Question 175542: I need to solve for x
25=5*10^(x/2)
I know I am supposed to use log to bring the x/2 down somehow but I just can't figure it out

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Question 176006: 3^2x=9^2x-1
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Question 176028: i do not know how to solve equations where there is a negative exponent. im sorry, i didnt know how to make the x negative to show it to you, but it's supposed to be



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Question 176072: log 10 + log 2 as a single logarithm
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Question 176127: Paul borrowed $90 from Greg eight months ago. Today, Paul paid Greg back $102.60. What is the simple annual interest rate that Paul paid?

..will u SOLVE this pLz?!.
..wit solutions and graph?,
..i need to solve dis..but i ddnt know how.
..pLz!.
..thAnks in advanCe!.

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Question 176289: I am havin a hard time learning how to "aproximate a logarithm to the nearest thousandth" I have a problem that is log(base 5) of 9 and all I did was divide 9 by 5 two times since that got me to one.actually, .36. but i dont think I even did that right. please help
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Question 176366This question is from textbook
: Log5(3x^2-1)=Log5(2x)This question is from textbook

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Question 176416: (e^(x/9))-8=6. add 2.248to the value of x.
Help please?

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Question 177040: Solve for x: log_12 (x-3) + log_12 (x+1)=1
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Question 177059: Evaluate:
a) log (square root 3) 1000
b) (log_3)1/81

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Question 177141: A major component of gasoline is octane. Octane has a vapor pressure of 13.95 torr at 25 degrees Celsius and a vapor pressure of 144.78 torr at 75 degrees Celsius. Use these data to calculate: (a) the heat of vaporization of octane; (b) the normal boiling point of octane; (c) the vapor pressure of octane at -30 degrees Celsius.

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Question 177321: Write the expression as the logarithm of a single quantity.
3/2[ln(x^2+1)-ln(x+1)-ln(x-1)
Here's the answer I came up with: (not sure about it though)
ln square root of (x^2+1/x^2-1)^3

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Question 177444: Hopefully I've submitted this in the right place to transform a logarithmic expression.
Express log x 4/9 in terms of log x 3/2
I worked it out through guesswork as, -2 log x 3/2, but can anyone explain the answer and if this is correct.
Thanks

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Question 177444: Hopefully I've submitted this in the right place to transform a logarithmic expression.
Express log x 4/9 in terms of log x 3/2
I worked it out through guesswork as, -2 log x 3/2, but can anyone explain the answer and if this is correct.
Thanks

Click here to see answer by solver91311(5072) About Me 

Question 177448: ln (sqrt x-8)=5

ln x + ln (x+3)= 1

log (x-6)= log (2x+1)

need step by step instructions on how to do each problem... please include answer as well. Thank you.

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Question 177500: Solve for x in log form
4^2X-4^X-42=0
answer: log(base 4)7 = X

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Question 177517This question is from textbook Precalculus graphs and models
: the problem is:
log base of 2 times (x+20) minus log base of 2 times (x+2) is equal to log base of 2 x.
this is how far i have gotten:
log base of 2 times (x+20/x+2) is equal to log base of 2 x
This question is from textbook Precalculus graphs and models

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Question 177517This question is from textbook Precalculus graphs and models
: the problem is:
log base of 2 times (x+20) minus log base of 2 times (x+2) is equal to log base of 2 x.
this is how far i have gotten:
log base of 2 times (x+20/x+2) is equal to log base of 2 x
This question is from textbook Precalculus graphs and models

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Question 177613This question is from textbook
: 3In(x-3)+4=5This question is from textbook

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Question 177631This question is from textbook
: 3-log(x+2)=5This question is from textbook

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Question 178132: Express as a logarithm of a single number of expression
log(subscript 2)5 + log (subscript 2) 8

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Question 178132: Express as a logarithm of a single number of expression
log(subscript 2)5 + log (subscript 2) 8

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Question 178281This question is from textbook college algebras
: Thanks in advance for your help evaluating this expression
log(3) 243
This question is from textbook college algebras

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Question 178352: Convert the following equations into exponential form:
a. X = log38
b. -9 = log5Y
c. X= log6Y
d. 100 = log2Z

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Question 178354: You have $500 in your savings account. Suppose you have a choice of keeping your money for five years in a savings account with a 2% interest rate, or in a five year certificate of deposit with and interest rate of 4.5%. Calculate how much interest you would earn with each option over five years time with continuous compounding.
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Question 178353: You have $760,000 in your bank account. The interest rate in your account is 5%. Solve for the following:
a. How much interest will you accumulate if interest is compounded annually over the next five years?
b. How much interest will you earn in your account over the next five years with continuous compounding?

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Question 178351: Please Help: Convert the following equations into logarithmic form:
a. 6 = 2x
b. 9 = 6y
c. 7 = 3y
d. X = 5y


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Question 178895: the areas of 2 recatangles are 15sq cm and 60sq cm what is the ratio of the first to the secound
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Question 179011: log base5 x=4

Please sovle for x and maybe explain how you did it because im not sure if im doing them right.

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Question 179017: log base5 (8-7x)=3

Please solve for x.

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Question 178937: solve
ln(9-x^2)=2

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Question 178934: simplify
ln(x^3-x^2)

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Question 178934: simplify
ln(x^3-x^2)

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Question 179300: please solve my problem: log[3]x+log[9]x^(2)+log[27]x^(3)=3
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Question 179480: find the numbers corresponding to the given logarithms.12)0.81293 13)9.27631-10
14)8.05733-10 15)7.38471

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510