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

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

Question 336368: factor completly: (x^2-12x+36)
Click here to see answer by jim_thompson5910(35256)

Question 336361: rationalize the denominator: 6/radical 8
Click here to see answer by stanbon(75887)

Question 336564: Help needed please! Having problems solving this 2 problems. Thanks in advance!

Exponential and Logarithmic Functions
Simplify the following expressions:
log4Z + log4X
log4Y - log4Z

Click here to see answer by Fombitz(32388)

Question 336634: How do you express 2,360,000 in scientific notation?
Click here to see answer by rfer(16322)

Question 336635: How do you express 23,000,000,000,000 the customary way using exponents?
Click here to see answer by user_dude2008(1862)

Question 336808: simplify without negative exponents
cubic square of 8^2
(the 3 is inside outside square root than the 8^2 is in the inside
Click here to see answer by jim_thompson5910(35256)

Question 336800: simplify without negative exponents
x^-4/x^7
Click here to see answer by jim_thompson5910(35256)

Question 336795: express in logarithmic form
Q^p=t
Click here to see answer by stanbon(75887)

Question 336795: express in logarithmic form
Q^p=t
Click here to see answer by Alan3354(69443)

Question 337130: 6x8 to the 3rd power=
Click here to see answer by jim_thompson5910(35256)

Question 337260: simlify -x - (-15x)
Click here to see answer by Fombitz(32388)

Question 337553: What is the answer to 8m(3rd power) + 64

Click here to see answer by benazir.sj@gmail.com(109)

Question 337747: Solve: 6^n+1 >= 10. Round to four decimal places.
a. n >= 0.2851
b. n >= 0.6667
c. n >= 1.2851
d. n >= 0.7782
Click here to see answer by user_dude2008(1862)

Question 338459: (2x^2)^-3(xy^0)^-2
-------------------
2xx^0x^1xxy^2
Using rules of exponents
Click here to see answer by Fombitz(32388)

Question 338670: simplify
5 divided by square root of 5
Click here to see answer by Fombitz(32388)

Question 338679: express in logarithmic form for the base
x^y=p
Click here to see answer by Fombitz(32388)

Question 338681: use the table of logarithms to calculate the answer.
log.0472
Click here to see answer by rfer(16322)

Question 339216: [3-(4-2^3)^2]^2
Click here to see answer by rfer(16322)

Question 339457: what is when and
Click here to see answer by Edwin McCravy(20060)

Question 339871: How do I solve with a fraction as power?
x^3/4 = -8
Click here to see answer by solver91311(24713)

Question 339871: How do I solve with a fraction as power?
x^3/4 = -8
Click here to see answer by Jk22(389)

Question 339945: use the rules of exponents to evaluate or simplify. Write without negative exponents. (-243)^3/5
Click here to see answer by jim_thompson5910(35256)

Question 340237: I am stuck on this problem.

Click here to see answer by fractalier(6550)

Question 340237: I am stuck on this problem.

Click here to see answer by jrfrunner(365)

Question 340247: I am asked to express in terms of log m and log n

Click here to see answer by Theo(13342)

Question 340244: I am asked to express in terms of log m and log n

Click here to see answer by Fombitz(32388)

Question 340239:
Click here to see answer by Fombitz(32388)

Question 340983: Please I need help! with this:
[1-(1.06)^-n]/0.06=8.384
thanks!
Click here to see answer by jrfrunner(365)

Question 341031: 3(5-7)^4 what is the best way the simplify this problem
Click here to see answer by nerdybill(7384)

Question 341284: Hi, It would be great if someone could help me with this question. I don't know what to put into the calculator when it comes to the 'e'.
In a chemical reaction the amount c(ug) of the starting material left after time t(seconds) is given by the equation: c = 20e^-0.1t
Find the average rate of change of the function between 1 and 2 seconds
Thanks
Click here to see answer by mananth(16946)

Question 341295: y =3x+4-1
Click here to see answer by Fombitz(32388)

Question 341314: Hello I need a little help with my homework. I started trying to work it out but I am not sure if it is the correct solution. Please help!
Question:
Population growth. The exponential growth rate of the population of United Arab Emirates is 4.4% per year (one of the highest in the world). What is the doubling time?
Sources: Based on data from U.S. Census Bureau; International Data Base 2007
My Answer: I changed 4.4% to .044^2. My result was .001936 or round to 0.002%.
Is this correct? Should I be using the P(t) = P0e^kt? If so how should I go by doing so? Thanks for your help in advance!
Click here to see answer by nerdybill(7384)

Question 341439: what is 4x to the power of -1, if x=3
Click here to see answer by Fombitz(32388)

Question 341535: The function Y(x)= 48.94 ln x/4.5 can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In which year will the country's population reach 11 million. About 2029, 2014, 2024, or 2034. to try and solve this problem I substituted 49, 34, 44, and 54 for x but still can not solve the problem can someone help me please.
e.g. Y(x)= 48.94 ln 54/4.5
Click here to see answer by stanbon(75887)

Question 341563: Please solve this for me with the working.
Function: I = 24e ^-0.3U
Sketch a graph of this function on for domain 0≤U≤10
Please show how you worked this out. Thanks
Click here to see answer by stanbon(75887)

Question 341873: Please solve this:
log x + log 2x = log 50
Thanks
Click here to see answer by Alan3354(69443)

Question 342220: Please help me solve this question. I need to find X (the little x is a multiply sign). Can you show working out so i can learn please.
2x(0.1)^(X+1) = 25
Thank you

Click here to see answer by Fombitz(32388)

Question 342519: a function P is defined as followed:
p(x)= x^5+x^4-36x-36 for x>0
-x^5+x^4+36x-36 for x<0
find p(-1)
Click here to see answer by jim_thompson5910(35256)

Question 342839: Please help me solve this equation:
8x^2(x^2-4)^1/3+(x^2-4)^4/3
Click here to see answer by stanbon(75887)

Question 342894: Which of the equations below describes the graph shown here? y=x-2 y=x+2 y=-x+2 y=-x-2
Click here to see answer by Fombitz(32388)

Question 342892: Which of the following relationships is a function? y2=x2-3x+4 y2=2x2?
Click here to see answer by Fombitz(32388)

Question 342899: Suppose three out of five people said they would prefer a television set to a stero system. If we surveyed 5,000 people, how many would prefer a television set? 1,875 3,000 3,125 5,000
Click here to see answer by kcanil08(11)

Question 342976: can you simplify this expression assuming all variables are nonzero?
68f^5g^-3 over 4f^-3g^6
Click here to see answer by Fombitz(32388)

Question 342896: In a fast-food restaurant, the ratio of people eating hamburgers to people eating chicken is 4:3. There are 84 people in the restaurant. How many people are eating hamburgers and how many are eating chicken?
Click here to see answer by Fombitz(32388)

Question 343682: I need to graph this function. I need the domain, range and horizontal asymptote.
f(x)= 2^x+2
would points (0,4), (1,8), (-1,1) on the graph?
Click here to see answer by jim_thompson5910(35256)

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