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 465420: (-5)-3
Click here to see answer by stanbon(75887)

Question 465421: 7-3

Click here to see answer by Alan3354(69443)

Question 465367: give the logarithms of the following.
1. log 1000
2. log 3.20
3. log(1000)^1/2 <--- thats the whole exponent the 1/2
Click here to see answer by Alan3354(69443)

Question 465496: I need help with logs log3(x+1)=log3 6
is it like x+1/3 = ln6/ln3
Click here to see answer by Alan3354(69443)

Question 464822: f(x) = 3x Find f(2)
The x is the exponent of 3. So I have y = B of x. right?
2 = 3x and this is where i get lost.
Thanks
Chris
Click here to see answer by sofiyac(983)

Question 466217: Section 5.3 #96.
Atmospheric Pressure The atmospheric pressure p on a balloon or plane decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h(in kilometers) above sea level by the function
p(h) = 760e�0.145h
(a) Find the atmospheric pressure at a height of 2 kilometers (over a mile).
(b) What is it at a height of 10 kilometers (over 30,000 feet)?

Click here to see answer by stanbon(75887)

Question 466125: I just don't get this log32 (x) + log(2x)=1 Solve for x
Click here to see answer by stanbon(75887)

Question 466677: Can Someone please help me with this question
The revenue, R, generated by selling games with a particular price is given by R(p) = �15p2 + 300 p + 1200. Graph the revenue function without a
calculator and find the price that
will yield the maximum revenue. What is the maximum revenue? Explain
in real world terms why this graph is parabolic.
Click here to see answer by ccs2011(207)

Question 466761: write 15^2=x in logarithmic form
Click here to see answer by Alan3354(69443)

Question 466943: How do I write these as the logarithm of a single expression...
log(x^2+3x-10)-log(x+5)
3log(2x^2)-(1/2)log(16x^4)
-2log(P)+(1/3)log(R)

Click here to see answer by Big Poop(157)

Question 467119: How do I write these as the logarithm of a single expression...
log(x^2+3x-10)-log(x+5)
3log(2x^2)-(1/2)log(16x^4)
-2log(P)+(1/3)log(R)

Click here to see answer by stanbon(75887)

Question 467175: need help fast please
A data processing consultant charges clients by the hour. His weekly earnings E are modeled by the function E=0.2x^2+40x where x is his hourly rate in dollars. Can he earn $2500 in a single week? Explain.
Click here to see answer by Big Poop(157)

Question 467233: Can someone please help with this problem
In 1965 the federal debt of the United States was $3.22.3 billion. During the next 30 years, the debt in creased by about 10.2% each year.
Write a model giving the amount (D) (in billions of dollars) of debt (t) years after 1965. About how much was the federal debt in 1980?
Graph he model
Click here to see answer by Big Poop(157)

Question 467232: Can someone please help with this problem
In 1965 the federal debt of the United States was $3.22.3 billion. During the next 30 years, the debt in creased by 10.2% each year.
Write a model giving the amount (D) (in billions of dollars) of debt (t) years after 1965. About how much was the federal debt in 1980?
Graph he model
Click here to see answer by Big Poop(157)

Question 467322: 1. Identify the equation that represents the function in the following graph.

1. y = (1/2)x
2. y = (1/2)(x + 1)
3. y = 2x
4. y = 2(x � 1)

2. Solve the equation 3x = 3(3x + 1).
1. 1/3
2. �1/3
3. 1/2
4. �1/2

3. Solve the equation 2(2x � 1) = 8(x + 7).
1. �22
2. 22
3. �8
4. 8

4. Solve the equation (1/3)x = 3(x � 6).
1. �3
2. 0
3. 3
4. undefined

5. Write the equation 73 = 343 in logarithmic form.
1. log3 343 = 7
2. log7 343 = 3
3. log3 7 = 343
4. log7 3 = 343

6. Write the equation log6 (1/36) = �2 in exponential form.
1. �2(1/36) = 6
2. (1/36)(�2) = 6
3. 6�2 = 1/36
4. �26 = 1/36

7. Evaluate the expression log12 122.
1. 0
2. 1
3. �1
4. 2

8. Solve the equation logb 9 = 2.
1. 0
2. 3
3. 6
4. 7

9. Solve the equation log3 (3x � 6) = log3 (2x + 1).
1. �1
2. 1
3. 3
4. 7

10. Evaluate the expression 10(log 12 � log 4).
1. 2
2. 3
3. 4
4. 8

11. Solve the equation log3 14 + log3 x = log3 42.
1. 3
2. 11
3. 20
4. 28

12. Solve the equation 3log5 x � log5 4 = log5 16.
1. 4
2. 8
3. 12
4. 16

13. Solve the equation (1/3)log7 64 + (1/2)log7 121 = log7 x.
1. 7
2. 15
3. 19
4. 44

14. Find log2 15 given that log2 5 = 2.322 and log2 3 = 1.585.
1. .737
2. 1.465
3. 3.680
4. 3.907

15. Find log3 25 given that log3 5 = 1.465.
1. 2.930
2. 2.146
3. 1.398
4. not enough information

16. If log .5 = �.3010, what is the mantissa of log .5?
1. 0
2. 1
3. .3010
4. .6990

17. If log 50 = 1.6990, what is the characteristic of log 50?
1. 0
2. 1
3. .3010
4. .6990

18. Find the logarithm of 1500. Round the answer to four decimal places.
1. 3.1761
2. .1761
3. .1761 � 3
4. 1761

19. Find the antilogarithm of 3. Round the answer to four decimal places.
1. 20.0855
2. 1.0986
3. .4771
4. 1000

20. Evaluate the expression ln 2.5. Round the answer to four decimal places.
1. .3987
2. .9163
3. 12.1825
4. 316.2278

21. Solve the equation 100e .75x = 500. Round the answer to four decimal places.
1. 2.1458
2. 3.1266
3. 4.2134
4. 5.5945

22. Evaluate the expression ln e.
1. .9933
2. 1
3. 10
4. 100

23. Solve the equation 6x = 72. Round the answer to four decimal places.
1. 1.0792
2. 2.1325
3. 2.2146
4. 2.3869

24. Solve the equation 6(3x + 1) = 8. Round the answer to four decimal places.
1. .0021
2. .0535
3. .0721
4. .0839

25. Solve the equation 7^(x � 2) = 5x. Round the answer to four decimal places.
1. 8.3219
2. 9.6253
3. 10.1263
4. 11.5665

Click here to see answer by Alan3354(69443)

Question 467335: Compute by using logarithms.
^4√6

Click here to see answer by Alan3354(69443)

Question 467358: how do you solve (2x^2)^3*(1/2x)^2?
Click here to see answer by MathLover1(20850)

Question 467359: how do you solve (-y)^3*(2y^2)?
Click here to see answer by jim_thompson5910(35256)

Question 467590: Can someone please help with this
Use the change of base formula to write two equations that are equivalent to y = log[2]x

Click here to see answer by Alan3354(69443)

Question 467651: x^2+16x+63=0 Solve the quadratic equation by completing the square.
Click here to see answer by jorel1380(3719)

Question 467765: how do i find 5 ^ SQRT OF 3 USING A SCINTIFIC CALCULATOR'

Click here to see answer by Alan3354(69443)

Question 468302: Solve the equation log 3x+5=3
Click here to see answer by ewatrrr(24785)

Question 468306: Suppose you invest $130 at 4% compounded continuously.
a. Write an exponential function to model the amount in your investment account.
b. Explain what each value in the function model represents.
c. In how many years will the total reach $600? Show your work.
Click here to see answer by ewatrrr(24785)

Question 468317: Does y=11(8/13)^x represents exponential growth or exponential decay.
Click here to see answer by ccs2011(207)

Question 468355: how do I Divide using long division.
2x^3-29x+12/ x+4

Click here to see answer by ewatrrr(24785)

Question 468366: Write the equation in its equivalent logarithmic form.
7^2 = 49

Click here to see answer by Alan3354(69443)

Question 468368: how can I evaluate this expression
log51
Click here to see answer by Alan3354(69443)

Question 468360: Solve the problem.
Solve the equation 2x3 - 23x2 + 71x - 30 = 0 given that 5 is a zero of f(x)= 2x^3- 23x^2 = 71x- 30 .

Click here to see answer by ewatrrr(24785)

Question 468363: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = x3 + 5x2 + 6x + 2

Click here to see answer by ewatrrr(24785)

Question 468305: The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of carbon-14 is 5700 years.
a. Write an exponential function to model the decay of a 470-mg sample.
b. Explain what each value in the function model represents.
c. To the nearest hundredth, find the amount of carbon-14 remaining after 2619 years. Explain how you found this amount.
Click here to see answer by ankor@dixie-net.com(22740)

Question 468458: rewrite using positive exponents (6xy)-4/5
Click here to see answer by MathLover1(20850)

Question 468456: find lim[x:3/2]2x^2-9x-18/2x-3
Click here to see answer by Tatiana_Stebko(1539)

Question 468588: Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
10x = 3.76

Click here to see answer by rfer(16322)

Question 468590: Use properties of logarithms to condense the logarithmic expression.
ln x + 8ln y

Click here to see answer by nerdybill(7384)

Question 468592: Use properties of logarithms to expand the logarithmic expression as much as possible.
logb (yz5)

Click here to see answer by nerdybill(7384)

Question 468597: Please help me solve this:
16e^(.02*10)
Click here to see answer by Tatiana_Stebko(1539)

Question 468582: Solve the problem.
An-Mei owns a business making and selling jackets. She has a fixed cost of $1190. It costs $92 to produce each jacket. The selling price is $109 per jacket. Let x represent the number of jackets produced and sold and write the cost function, C, and revenue function, R.

Click here to see answer by nerdybill(7384)

Question 468587: Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
e3x - 2 - 4 = 1073

Click here to see answer by Alan3354(69443)

Question 468794: write the standard form of the equation of the circle with the radius sqrt30 and whose center is the orgin
Click here to see answer by Tatiana_Stebko(1539)

Question 468799: can someone Please help me with this;
write the standard form equation of the circle that passes through the given point(8,0) whose center is the origin
Click here to see answer by lwsshak3(11628)

Question 468362: Use the Rational Zero Theorem to list all possible rational zeros for the given function.
x^5- 6x^2 + 3x+ 21
Click here to see answer by lwsshak3(11628)

Question 468797: can someone Please help me with this;
write the standard form equation of the circle thapasses through the given point(8,0) whose center is the origin

Click here to see answer by Tatiana_Stebko(1539)

Question 468795: write the standard form of the equation of the circle with the radius sqrt30 and whose center is the origin
Click here to see answer by Theo(13342)

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