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 451214: I need help to solve this problem
(bc)^a= b^ac^a and
c^ao= (c^a)^o
Click here to see answer by stanbon(75887)

Question 451338: how do I evaluate: Log1/5 125?
Click here to see answer by lwsshak3(11628)

Question 451482: Evaluate the following function at the indicated values.
R(t)= (1/2)^6^t

(a) R(-1/6) = 1
(b) R(1) = 2
(c) R(-1) = 3

Click here to see answer by cwmcwilly07(5)

Question 451473: log2(x+7) - log2(x)=1
Click here to see answer by edjones(8007)

Question 451518: Evaluate the following function at the indicated values. Round to the nearest ten-thousandth.
f(x) = e2x

(a) f(-4) =
(b) f(-1/3) =
(c) f(4) =
Click here to see answer by solver91311(24713)

Question 451541: If a bacteria culture doubles every 12 hours, then how much bacteria would exist after 2 days if the culture started with 100 cells?
Click here to see answer by robertb(5830)

Question 451793: Evaluate the following function at the indicated values. Round to the nearest ten-thousandth.
f(x) = e^2^x

(a) f(-4) =
(b) f(-1/3) =
(c) f(4) =

Click here to see answer by stanbon(75887)

Question 451880: Write the logarithmic equation in exponential form.
logc(a) = b

Click here to see answer by robertb(5830)

Question 451905: Evaluate.
log4(256)
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Question 452158: Solve for each variable:
2500=4e^58t
Click here to see answer by nerdybill(7384)

Question 452198: can i see step by step of how to factor 81^(3n+4)-3x^(6n+4)
Click here to see answer by Alan3354(69443)

Question 452299: how can 0.0000000023 be written
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Question 429148: Carbon dioxide is a greenhouse
gas in the atmosphere that may raise average temperatures
on Earth. The burning of fossil fuels could be
responsible for the increased levels of carbon dioxide. If
current trends continue, future concentrations of atmospheric
carbon dioxide in parts per million (ppm) could
reach the levels shown in the accompanying table. The
concentration in the year 2000 was greater than it
had been at any time in the previous 160,000 years.
CO2
sCO2d (a) Let x be in years, where corresponds to
2000, to 2001, and so on. Find values for
C and a so that models the data.
(b) Graph f and the data in the same viewing rectangle.
(c) Use to estimate graphically the year when
the carbon dioxide concentration will be double
the preindustrial level of 280 ppm.
Table used:
Year 2000 2050 2100 2150 2200
CO2 (ppm) 364 467 600 769 987
Click here to see answer by nmo9772(2)

Question 452384: a radioactive substance has a half life of 120 days.if an original sample of the substance has a mass of 10 grams, about how much of the substance will remain after 180 days of the original substance
-------------------------------------------------------------------------------i need help with this question. would appreciate the help. sorry, i dont know if this is under the right section.
Click here to see answer by ankor@dixie-net.com(22740)

Question 452632: what is the right way to write the following equation in logarithmic form:
Click here to see answer by stanbon(75887)

Question 452631: The half-life of the radioactive gas, radon, is 4 days. How much radon will exist after 20 days if the original amount of radon was 200 grams? Use A=200(1/2)^t/4
Click here to see answer by stanbon(75887)

Question 452637: what is the right way to write the following equation in logarithmic form:
Click here to see answer by stanbon(75887)

Question 452787: how do you solve the equation log8 64

Click here to see answer by jim_thompson5910(35256)

Question 452792: what is cos4xcos3x+sin4xsin3x equivalent to?

Click here to see answer by jim_thompson5910(35256)

Question 452710: how do would you solve this problem g3/4=8
Click here to see answer by rfer(16322)

Question 452849: what does x equal?
log5(-25)=x
Click here to see answer by josmiceli(19441)

Question 452859: what does x equal?
log 10,000=x
Click here to see answer by rfer(16322)

Question 452859: what does x equal?
log 10,000=x
Click here to see answer by stanbon(75887)

Question 452885: Hi. How would I solve the problem log2 (x^2-9)=4 Would I factor out the (x^3-9) to make its (x+3) (x-3) Then go from there?
Click here to see answer by robertb(5830)

Question 453016: Use natural logarithms to slove the equation e^-2x =7.2
Click here to see answer by josmiceli(19441)

Question 453089: I need to write an exponential equation showing 5% and 9% interest on a $15,000 car loan over 48 months. Thank You
Click here to see answer by stanbon(75887)

Question 453373: log3 x- log3(x-2)=1
Click here to see answer by robertb(5830)

Question 453550: Solve for x.
log8(x) = 0

Click here to see answer by stanbon(75887)

Question 453641: Express as a single logarithm with a coefficient of 1. (Enter the logarithmic function in the form log_a(b).)
2 log6(x) + 4 log6(y)
Click here to see answer by poliphob3.14(115)

Question 453704: DISREGARD! Found the answer.
For anyone wondering... they are 3i, -3i, -2, and 5 :)
Solve: x^4 - 3x^3 - x^2 -27x - 90 by finding all roots.
Click here to see answer by kac123kac(8)

Question 454217: {{ 16^(2r)= 64^(-r+1)}}
please help!

Click here to see answer by robertb(5830)

Question 454532: is 6.5 a solution of log base 3 of (x + 3) + log base 3 of (x-2) = log base 3 of 14 and please show your work?
Click here to see answer by Gogonati(855)

Question 454884: Please simplify the exponential problem below:
((2x^3 y)^2)/(2(x^-3 y)^-1)
Click here to see answer by stanbon(75887)

Question 454898: Can you show me step by step how to solve this equation?
You deposit $1000 into a savings account in which the intrest is compounded anuualy at a rate of 5%.

What is the pricipal after 5 years?
Click here to see answer by mananth(16946)

Question 455116: Divide
208r^10/8r^7
Click here to see answer by rfer(16322)

Question 454992: 10^x

Click here to see answer by richard1234(7193)

Question 455858: 5^x=17
Click here to see answer by Alan3354(69443)

Question 456235: 9,999*10^-3
Click here to see answer by rfer(16322)

Question 456330: log(7)x=2
Click here to see answer by edjones(8007)

Question 456535: 7=log4x
Click here to see answer by stanbon(75887)

Question 456813: 8*3+4*7+4=
Click here to see answer by zeti68(10)

Question 457206: simplify by removing factors of 1
r^2-81/r^2-18r+81
I can simplify this to (r-9)(9+r)/r^2+63 but I am not sure what they want or mean by removing the factor of 1

Click here to see answer by Alan3354(69443)

Question 457256: A launched rocket has an altitude, in meters,given by the polynomisl h+vt-4.9t^2, where h is the height, in meters, from which the launch occurs, at velocity v in meters per second, and t is the number of seconds for which the rocket is airborne. if a rocket is launched from the top of a tower 60 meters high with an intial upward of 60 meters per second, what will its height be after 2 seconds?
Click here to see answer by nerdybill(7384)

Question 457269: Fvn = pv (1 + i)�n
Click here to see answer by stanbon(75887)

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