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 154765: Still don't undertand this and I have a test tomorrow...yikes!!
Here's the question:
A picture that was supposedly painted by Vermeer (1632-1675) contains 99.5% of it's carbon=14. The half life for carbon=14 is 5730 years. Is the picture a fake?
I know the formula to use is(first, Q_0 = Q-naught) Q=Q_0e^-k5730. And I know Q should equal 1/2, but I can't seem to put it all together. Please help!
Thanks,
T
Click here to see answer by jim_thompson5910(35256)

Question 154855: I know that the number 243 is in exponential notation.
3^5 = 3�3�3�3�3 in exponential notation. I know this because there are calculators to tell me this. But HOW would I find this exponent without a calculator?
thank you so much. I'm here to understand.
Click here to see answer by scott8148(6628)

Question 154916: Hello,
I neeed some help I have been out of school for 15 years and I have forgotten how to graph a polynomial of three terms.
6x^2 - 4xy + 2xy
I believe that this is a polynomial of three terms, but I could be wrong.
Please show me how to graph it.
I really am struggling with this.
Thank you for your help
Jackie
Click here to see answer by checkley77(12844)

Question 155070: Hello,
I am old and trying to help my daughter with her physics homework. I have forgotten even the simplest and need a little boost..
4x^2+12x=0
solve for x
thanks,
Susan

Click here to see answer by Fombitz(32388)

Question 155231: Hi
Can someone help me graph the following it is suppose to be a three term polynomial, I hope it is. I have been out of school for 15 years and I have forgotten how to graph.

4x� + 3x - 7

Thank you,
Jackie
Click here to see answer by stanbon(75887)

Question 155128: What are the steps to solving this equation?
x^-3 + y ^-6
--------------
x^-6 y^2
Click here to see answer by checkley77(12844)

Question 155383: 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
Click here to see answer by jim_thompson5910(35256)

Question 155404: 16x^2-49=0
Click here to see answer by checkley77(12844)

Question 155463: Evaluate the expression, log 3^9
a. 1/2
b. 2
c. 6
d. 1

Click here to see answer by oscargut(2103)

Question 155467: Find the domain of the logarithmic function.
f(x) = log 8 (x + 1)
a. (-1, ∞)
b. (1, ∞)
c. (-∞, 0) or (0, ∞)
d. (8, ∞)

Click here to see answer by oscargut(2103)

Question 155460: Write the equation in its equivalent exponential form.
log 4 16 = 2
a. 162 = 4
b. 24 = 16
c. 416 = 2
d. 42 = 16

Click here to see answer by oscargut(2103)

Question 155474: what is 3 to negative 2 power
Click here to see answer by oscargut(2103)

Question 155465: Write the equation in its equivalent logarithmic form.
5-2 = 1 / 25

log5-2 = 1 / 25

log 1/5 5 = -2

log5 1 / 25 = -2

log-2 1 / 25 = 5

Click here to see answer by oscargut(2103)

Question 155462: If log 2 � 0.301 and log 3 � 0.477, then log 6 �
a. 0.778
b. 0.144
c. 0.176
d. Cannot be determined given this information

Click here to see answer by Earlsdon(6294)

Question 155509: write 243 in exponential notation
Click here to see answer by Earlsdon(6294)

Question 155565: USE THE LAW OF EXPONENTS TO FIND THE VALUE OF "A" THAT WOULD MAKE THE FOLLOWING STATEMENT TRUE. EXPLAIN YOUR REASONING.
|X+A| = B
4^16 = 16^2X = 256^X = 4294967296
THIS QUESTION IS FROM A PRACTICE TEST FROM THE HSPA IN JERSEY CITY.
PLEASE HELP THANK YOU.
Click here to see answer by stanbon(75887)

Question 155480: Please help me solve the following problem straight from a worksheet:
Use the law of exponents to find teh value of a taht would make the following stsatement true. Explain your reasoning.
|x+a| = b
4^16 = 16^2x = 256^x = 4,294,967,296
Click here to see answer by Alan3354(69443)

Question 155640: Approximate the number using a calculator. Round your answer to three decimal places.
e^3.8
a. 37.672
b. 45.001
c. 44.701
d. 10.329

Click here to see answer by jojo14344(1513)

Question 155637: Determine x for 10^2x + 1 = 100x
a. x = -1
b. x = 2
c. x = 0
d. No solution

Click here to see answer by checkley77(12844)

Question 155639: Which of the following is an exponential function?
a. f(x) = x2
b. L(t) = 1 - e-t
c. g(q) = q -2
d. R(x) = 4 ln(x)

Click here to see answer by oscargut(2103)

Question 155636: Use properties of logarithms to expand the logarithmic expression as much as possible.
4 ln x - 1/4ln y

a. ln x4/y4
b. ln x^4 4square root y
c. 1n x^4/4square root y
d. Inx^4y^4
Click here to see answer by oscargut(2103)

Question 155635: Solve the equation by expressing each side as a power of the same base and then equating exponents.
3^(6 - 3x) =1/27

a. {9}

b. {1/9}

c. {-3}
d. {3}

Click here to see answer by oscargut(2103)

Question 155772: Evaluate the functions for the values of x given as 1, 2, 4, 8 and 16
f(x) = ln x
Click here to see answer by HyperBrain(694)

Question 155835: The formula A = 182e^0.025t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 211 thousand?
2004
2007
2005
2006

Click here to see answer by stanbon(75887)

Question 155837: Which of the following is a logarithmic function?
a. f(x) = x^2
b. L(t) = 1 - e^-t
c. g(q) = q^-2
d. R(x) = 4 ln(x)

Click here to see answer by stanbon(75887)

Question 155838: Use the compund interest formulas A=P(1+r/n)^nt and A= Pe^rt to solve.
Find the accumulated value of an investment of $13,000 at 8% compounded semiannually for 5
years.
a. $15,816.49
b. $19,101.26
c. $18,200.00
d. $19,243.18

Click here to see answer by stanbon(75887)

Question 155836: Remember, a logarithm is:
a. not to be taken lightly
b. an inverse function
c. a rational function
d. an exponent

Click here to see answer by stanbon(75887)

Question 155834: Use properties of logarithms to expand the logarithmic expression as much as possible.
logb (xy^9/z^2)

a. logbx + 9logby - 2logbz
b. logbx + logby^9 - logbz^2
c. logbx + 9logby + 2logbz
d. logbx + logby^9 + logbz^2

Click here to see answer by stanbon(75887)

Question 155833: Choose the one alternative that best completes the statement or answers the question. Approximate the number using a calculator. Round your answer to three decimal places.
3^-3.4
a. 0.324
b. 0.024
c. -10.200
d. -39.304

Click here to see answer by stanbon(75887)

Question 156088: Use the compund interest formulas
Find the accumulated value of an investment of $8000 at 9% compounded continuously for 4 years.
$11,466.64
$11,566.64
$10,880.00
$11,292.65

Click here to see answer by stanbon(75887)

Question 156087: Use properties of logarithms to expand the logarithmic expression as much as possible.
log2 (16/^/�(x-1) )

a. 4 -1/2log2(x - 1)

b. log216 - log2 ^/�(x - 1)
c. 4-log2 ^/�(x - 1)
d. 4log2 2-1/2 log2(x - 1)

Click here to see answer by stanbon(75887)

Question 156085: graph the exponential function f(x)=4^x
Click here to see answer by Fombitz(32388)

Question 156085: graph the exponential function f(x)=4^x
Click here to see answer by oscargut(2103)

Question 156083: graph the exponential function f(x)=4^x-2
Click here to see answer by oscargut(2103)

Question 156082: graph the exponential function f(x)=4^x+2
Click here to see answer by Fombitz(32388)

Question 156323: how do I write 5 to the 7th power as a product of the same factor?
Click here to see answer by oscargut(2103)

Question 156563: solvethe rational inequality and graph the solution set on a real number line. express the solution set in interval notation.
x-9/x+1 >0
Click here to see answer by Fombitz(32388)

Question 156731: equation y=ca^x
points on graph = (3,50) and (2,1)
Solve for a
Click here to see answer by jim_thompson5910(35256)

Question 156857: 12^(m+5)=17
Click here to see answer by jim_thompson5910(35256)

Question 156857: 12^(m+5)=17
Click here to see answer by Edwin McCravy(20059)

Question 156859: what is the simplest form of (x^-2y^-3)over (x^2y^-1)^3

Click here to see answer by jim_thompson5910(35256)

Question 157471: log10 (x^2 + 36)= log10 100
Click here to see answer by Fombitz(32388)

Question 157472: log2 (4x-10)
Click here to see answer by Fombitz(32388)

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