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

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Question 1048579: Please help me solve this question

4. An initial 65 mg sample of a radioactive substance decays to 30 mg in
100 years.
(a) Find the rate of decay of the substance.
(b) Find the half-life of the substance.
(c) How long would it take until only 10 mg of the amount remains?
Click here to see answer by josgarithmetic(39620)

Question 1048580: Please help me solve this question
2. The current bear population in a park is 10. The relative growth rate
is 2% per year.
(a) Find the population in 20 years.
(b) Find the function that models the bear population t years from
now.

Click here to see answer by josmiceli(19441)

Question 1048701: I'm not sure if this is the right place for this question, but it seemed the most appropriate.
What is the derivative of this function given that: f(x)=(7x-9)^8
Any workings would be greatly appreciated.
Click here to see answer by josgarithmetic(39620)

Question 1048666: 2^(2x+3) - 9*2^x +1 = 0
Click here to see answer by Alan3354(69443)

Question 1048709: A researcher is investigating a specimen of bacteria. She finds that the original 1000 bacteria grew to 2,048,000 in 60 hours. How fast does the bacteria (a) double? (b) quadruple? Give an exponential model for the bacteria as a function t.
Click here to see answer by Alan3354(69443)

Question 1048777: A stone is release from balloon while is ascending at a rate of 5.00 meter/sec . the balloon is 353 meter above the ground when the stone is release. What time is required for the stone to reach the ground ?.How far does the stone go up ?

Click here to see answer by josmiceli(19441)

Question 1048828: Please help me solve this question.
An initial 65 mg sample of a radioactive substance decays to 30 mg in
100 years.
(a) Find the rate of decay of the substance.
(b) Find the half-life of the substance.
(c) How long would it take until only 10 mg of the amount remains?
Click here to see answer by Theo(13342)

Question 1048888: A baseball is thrown vertically downward from the top of a meter tower with a initial velocity of 25.00 meter/sec. With what velocity does it reach the ground? What time is required to the travel this distance?

Thanks
Click here to see answer by Alan3354(69443)

Question 1048973: Rewrite the following logarithmic equation in exponential form.
a) log (m) = n
b) log3 (81) = 4
c) logsqrt[5] (5) = 2
d) log3/4 (64/27) = -3
e) log4 (2) = 1/2
f) log10 (0.001) = -3
g) ln8 = 9
h) ln5 = a
Click here to see answer by Alan3354(69443)

Question 1049314: Please help me with this question.
The graph of f(x) has a horizontal asymptote y = 5.
1. What is the horizontal asymptote of the graph of f(x) + 5?
2. What is the horizontal asymptote of the graph of f(x + 5)?

Click here to see answer by ikleyn(52800)

Question 1049316: Please help with this question.
Find an exponential function f(x) = ax whose graph passes through the point (2,9).

Click here to see answer by josgarithmetic(39620)

Question 1049316: Please help with this question.
Find an exponential function f(x) = ax whose graph passes through the point (2,9).

Click here to see answer by ikleyn(52800)

Question 1049316: Please help with this question.
Find an exponential function f(x) = ax whose graph passes through the point (2,9).

Click here to see answer by advanced_Learner(501)

Question 1049362: 3^(2x+1)+3=10*3^2
Click here to see answer by stanbon(75887)

Question 1049895: -8+(-4) -(-6)=
Click here to see answer by Cromlix(4381)

Question 1050314: Rewrite using a single positive exponent.
4^9/4^2
(It's written as a fraction).
thank you!

Click here to see answer by stanbon(75887)

Question 1050558: How do I change 9^(x-1) to base e?
Click here to see answer by solver91311(24713)

Question 1051243: find f^-1(x). state any restrictions on the domain of f^-1(x)
37.) f(x) = 3x - 7
39.) f(x) = -3x + 11
Click here to see answer by MathLover1(20850)

Question 1051521: How do you put 2x+3y=6 into function form
Click here to see answer by Boreal(15235)

Question 1051980: Evaluate the expression. 9x, x=5
Click here to see answer by Alan3354(69443)

Question 1053273: Find an exponential equation,f(x),for a curve that passes through (-1,-1/3) and (3,-27/16).
Click here to see answer by htmentor(1343)

Question 1053473: How do I solve (a^-4b/ab^8)^-2?
Click here to see answer by Alan3354(69443)

Question 1053561: what is the value of x in the exponential equation 4^(5-9x)=1/8^(x-2)
Click here to see answer by Fombitz(32388)

Question 1053969: f(x)=1-3x
Click here to see answer by Alan3354(69443)

Question 1054108: rewrite the expression
ln9+6lnx+4ln(x^2+9)
as a single logarithm lnA
Click here to see answer by Alan3354(69443)

Question 1054388: Expand as a sum or difference.
please & thanks:)
Click here to see answer by Edwin McCravy(20059)

Question 1054388: Expand as a sum or difference.
please & thanks:)
Click here to see answer by josmiceli(19441)

Question 1054394: Solve.

Can someone be generous enough to help me? Please & thanks!
Click here to see answer by ewatrrr(24785)

Question 1054397: Expand as a sum or difference.
Log3 4
Please & thanks!
Click here to see answer by Alan3354(69443)

Question 1054592: 4^(5x+1) = 5^(4x-1) Must solve using logs
Click here to see answer by Alan3354(69443)

Question 1054592: 4^(5x+1) = 5^(4x-1) Must solve using logs
Click here to see answer by Edwin McCravy(20059)

Question 1054576: Simplify to a single log expression.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1054767: (9m^4p^2+6m^5p-7mp^4)/(mp)
Can you please help me simplify this problem. I am sure how to go about this problem.
Click here to see answer by josmiceli(19441)

Question 1055050: log6 (2) + log6 (18)

Click here to see answer by Alan3354(69443)

Question 1055140: find x if 2logx = x/25
Click here to see answer by Alan3354(69443)

Question 1055577: 4e^(5x+4)=5
Click here to see answer by ikleyn(52800)

Question 1055731: Find the function of the form f(x)=ab^x+c if the follwoing points are on the graph.
(1,14) (2,38), (3, 110)
Please help me.
Thanks
Click here to see answer by ikleyn(52800)

Question 1055778: A certain bulb and capillary tube are generated when the curve y= sqrt{2x\ }e^{-\frac{1}{2}x^2 is rotated about the x-axis between x=0cm and x=2cm. Find the capacity of liquid the apparatus could hold. Give your answer to four significant figures.
Click here to see answer by Fombitz(32388)

Question 1055817: If log base is 2 and the value is x + log base 4 and value x = 3 then how we will find x?
Click here to see answer by Alan3354(69443)

Question 1055810: What is 4503599627400000 in exponential form
Click here to see answer by Edwin McCravy(20059)

Question 1055949: 5^(2x) - 5^(x-1) = -6

Click here to see answer by ikleyn(52800)

Question 1055892: suppose that the salinity S of ocean water at a given depth d is modeled by the equation S (d)=31.7+1.5log(d+1), where S is measured in grams salt per kilogram water and d is measured in meters. what is the salinity when the depth is 931 m? Round your answer to the nearest hundredth.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1055984: Can you help me in solving this problem:
Starting with the graph of y=2x, write the equation of the graph that results from
(a) reflecting about the line y=4
(b) reflecting about the line x=2

Click here to see answer by josmiceli(19441)

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