Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)


Question 71483: I have a worksheet with several problems I need help with. I have the basic rules for logarithms, but they aren't really helping.
1. 5log(base37)37^9=
2. 3log(base24)24^-2/3=
3. (Log(base7)8)/(log(base7)1/8) =
4. 10^(log(base100)9)=
Thank you in advance for your help!!!

Click here to see answer by stanbon(26259) About Me 
Question 71483: I have a worksheet with several problems I need help with. I have the basic rules for logarithms, but they aren't really helping.
1. 5log(base37)37^9=
2. 3log(base24)24^-2/3=
3. (Log(base7)8)/(log(base7)1/8) =
4. 10^(log(base100)9)=
Thank you in advance for your help!!!

Click here to see answer by josmiceli(3003) About Me 

Question 71509: write an exponential function of the form y=ab^x whos graph passes trough the points, (2,5.888),(3,9.4208)
Click here to see answer by stanbon(26259) About Me 

Question 71654This question is from textbook
: I need some help with two problems. Thanks alot.
Solve the logrithim equation. leave answer in exact form
log x = log 2x^2 -2
solve the equation
ln 4 - ln x = 20

thanks again
This question is from textbook

Click here to see answer by bucky(1732) About Me 

Question 71846: Solve for x in the following eguation.
5=9^x-1
(as in x-1 are exponents.)
I can't figure out where the log goes... :(

Click here to see answer by jim_thompson5910(13787) About Me 

Question 72007This question is from textbook Study Guide and Practice Workbook
: I need to figure out what "compounded annually" means. Ex: $500 paying 4% interest compounded annually. What does this mean?This question is from textbook Study Guide and Practice Workbook

Click here to see answer by Nate(3495) About Me 

Question 72294: If a piece of real estate purchased for $75,000 in 1998 appreciates at
the rate of 6% per year, then its value t years after the purchase will
be f (t) = 75,000(1 + .06t ) . According to this model, by how much will the
value of this piece of property increase between the years 2005 and
2008?

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Question 72299: The amount of a radioactive tracer remaining after t days is given
by A = A0 e–0.058t, where A0 is the starting amount at the beginning of
the time period. How many days will it take for one half of the
original amount to decay?

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Question 72361: (9 1/2 +16 1/2)squared
Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72360: 9 1/2 +16 1/2
Click here to see answer by checkley75(3666) About Me 

Question 72345: I have to use synthetic division on this problem and I'm confused!
4d^4 + 3d^2 - 6d +1/ 2d +1
Can you help me?

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Question 72545: 3/2 to the fifth root
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Question 72804: solve LOGa(8x+5) =LOGa(4x+29)
the a is lower than the word LOG. What does this mean?
Someone pleeze help

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Question 72913This question is from textbook mcgougal littell algebra 2
: Write an exponential function of the form y=ab^x whose graph passes through the given points.
17. (1,4),(2,12)
This question is from textbook mcgougal littell algebra 2

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Question 72913This question is from textbook mcgougal littell algebra 2
: Write an exponential function of the form y=ab^x whose graph passes through the given points.
17. (1,4),(2,12)
This question is from textbook mcgougal littell algebra 2

Click here to see answer by stanbon(26259) About Me 

Question 73166: I have been trying to figure out the word problem below for a while and can't understand what numbers to plug into the function to solve.
Exponential growth rate for a product is 10% per year. Using the exponential growth function(N=N0e^rt) with r as growth rate, t as number of years since 1995 and N0 as demand in 1995, when will the demand be double that of 1995?

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

Question 73442This question is from textbook algebra and trigonometry structure and method
: one thousand dollars is invested at 12% interest compounded annually. determine how much the investment is after 2 yearsThis question is from textbook algebra and trigonometry structure and method

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Question 73441This question is from textbook algebra and trigonometry structure and method
: one thousand dollars is invested at 12% interest compounded annually. determine how much the investment is after 2 yearsThis question is from textbook algebra and trigonometry structure and method

Click here to see answer by bucky(1732) About Me 

Question 74088: please help me with this problem f:R to R is defined by f(x)=2x+1 then f^-1(x)=
y=2x+1
Interchange x and y to get the inverse
x=2y+1
solve for y
y=(1/2)x-1
-------------
Cheers,
Stan H.

this is from a homework assignment thanks

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Question 74090: log(3m-5) + log(m)=log(2)
I need help solving this problem.

Click here to see answer by Edwin McCravy(2920) About Me 

Question 74106: xsqaured-21x+24 =
Click here to see answer by stanbon(26259) About Me 

Question 74323This question is from textbook Intermediate algebra
: please help me solve the equation z over 3 - 3z over 4This question is from textbook Intermediate algebra

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Question 74342This question is from textbook algebra
: 4y squared -12y+9This question is from textbook algebra

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Question 74437: Starting with the graph of f(x)= 7^x Write the equation of the graph that results from reflecting f(x) about the line y= -1 y= ?
Click here to see answer by jim_thompson5910(13787) About Me 

Question 74624This question is from textbook Algebra and Trignometry
: Solve:
(2^x)-(3^x)=0
I tried to bring it to base 2 but it didn't work. Please show us steps.
Thank you.
This question is from textbook Algebra and Trignometry

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Question 74758: 0.25^x-0.5=2
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Question 74757: How do you solve -16+0.2(10)^x=35
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Question 74869: would someone please help me on this problem
I am writing an exponential function
the equation is Y=ab^x and they gave me points (4,8)(8,9)
I can do it up till i get to pluging in the 8 and 9 and then ther ends up bieng 2bs and i dont know wht to do. it problabley dosent sound clear but i have tried it over and over.
Thank you!!!

Click here to see answer by stanbon(26259) About Me 

Question 74866: I have a word problem that i can't figure out would you please help me.
Question- write a exponential function to model the situation. Then estimate the value of the function after 5 years(to the nearest whole number)-- A population of 270 animals that decreses at an anual rate of 22%

I am not totaly sure what formula to use? I think it might be one of the following. A=p(1+r/n)or A=p(1-r/n) Im not sure. Could you please help me to decide what formula to use. Thank you very much!!!

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Question 74776: 1 - 2 ln x=-4
Click here to see answer by jim_thompson5910(13787) About Me 

Question 74768: 16lnx=30
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Question 74893: Could you please help me to simplify this problem:
2^(2/3) + 3(2^(2/3).

Click here to see answer by Alwayscheerful(414) About Me 

Question 75041: use log base 10 5=0.6990 and log base 10 7=.8451 to approximate the value of each expression
1. log base 10 35
this is from a worksheet

Click here to see answer by stanbon(26259) About Me 

Question 75098: 2^31*4^31*5^62*7^31*8^93=y
When I tried to solve the problem using an online calculator and got strange results. For example, I entered eight to the ninety-third power and got, 9.713344461128645e+83 as an answer which is a format I am unable to work further with. Thanks for your help!

Click here to see answer by Edwin McCravy(2920) About Me 

Question 75004This question is from textbook college algebra
: (2/3)^x = 9/4This question is from textbook college algebra

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Question 75291: Some please help me. I need your help urgently I don’t want to fail me classes

Write in scientific notation. 889,610,000,000

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Question 75412This question is from textbook
: i am unsure on how to work out this problem can you help please?
solve for x
2/3 e^4x=3 3/5
thank you!
This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 75554: SMOKING AND COLLEGE EDUCATION
Q1. The tobacco industry closely monitors all surveys that involve smoking. One survey showed that among 785 randomly selected sunjects who completed four years of college, 18.3% smoke(based on data from American Medical Association).
a. Construct the 98% confidence interval for the true percentage of smokers among all people who completed four years of college.
b. Based on the result from part (a),does the smoking rate for those with four year of college appear to be substantially different than the 27% rate for the general population?

Click here to see answer by stanbon(26259) About Me 

Question 75632: For the equation, U=W^0.5 solving for W reveals this: W = U^2
For the equation U=100W^0.3, solve for W.

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Question 76241This question is from textbook algebra 2
: ln x+ln9x-20=1This question is from textbook algebra 2

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Question 76240This question is from textbook ALGEBRA 2
: Lnx+ln9x-2=1This question is from textbook ALGEBRA 2

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Question 76396This question is from textbook algebra 2
: graph the function. state the domain and range.
y= 2 x + 2
This question is from textbook algebra 2

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Question 76442: I asked this question before and turned it into my teacher but he said it was wrong...so what is wrong with it?
You would take the (whole sale price) + (40% of whole sale price) = retail price
Whole sale price is $75.00 + ($75.00 x 40%) =retail price
$75.00 + .40 (you get .40 because you have to move the decimal 2 places)
now take .40 x 75 = 30
75+30 add them together and you get
$105 retail price = answer

Click here to see answer by checkley75(3666) About Me 

Question 76543: can some please help me Tthanks in advance .
i have to get the factor completely;
1) x^5y^3-3x^4y^2-28x^3y.
2) x^3-2x^2+6x-12

Thanks millon .

Click here to see answer by checkley75(3666) About Me 

Question 77285: solve for x
2x^(3/2)-3=13

Click here to see answer by Earlsdon(4898) About Me 

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