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 746904: find the equation of the tangent line to the graph of
a. f(x) = -2x^2+3x-2, at x=-2
Click here to see answer by Cromlix(4381)

Question 746949: Solve for x: (e^x)+(e^x)= 0
Click here to see answer by jim_thompson5910(35256)

Question 746949: Solve for x: (e^x)+(e^x)= 0
Click here to see answer by Alan3354(69443)

Question 747012: how do you do log7(2-x)=log7(5x)
Click here to see answer by tommyt3rd(5050)

Question 747071: please help me solve
log base 6 X + log base 6 X-3=2
the answer is 7.365 but I need to know how to solve. thank you.
Click here to see answer by lwsshak3(11628)

Question 747285: In the equation y=ab^(x-h)+k, how does the value of k affect the graph?
Click here to see answer by nerdybill(7384)

Question 747279: Solve 1 n 2+ 1 n x=5
Click here to see answer by nerdybill(7384)

Question 747347: At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 240 minutes, her sample has decayed to 3.8125 grams. what is the half life of goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. How many grams of goo will remain after 47 minutes.
Click here to see answer by stanbon(75887)

Question 747752: differentiate and simplify y = 9ln(5/x)
Click here to see answer by Alan3354(69443)

Question 747891: Can I please get help to find the distance between (1,9) and (5,10) and if necessary round the answer to two decimal places.
And also if I can get help to find the midpoint of the line segment whose points are (3,2) and (7,8). Thanks
Click here to see answer by Alan3354(69443)

Question 748288:
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Question 748288:
Click here to see answer by tommyt3rd(5050)

Question 748384: I keep getting a no soulution for 16^n < 8^(n+1) but in the back of the book it says its N<3
Click here to see answer by FrankM(1040)

Question 748638: Hello, any help to resolve this problem will be appreciated.
The data points shown came from an experiment that involved tungsten (W) and iridium (Ir). Write the equation that expresses tungsten as a function of iridium: W = mIr + b
Tungsten in grams (vertical): 20 40 60 80 100
Iridium in grams (horizontal): 2 4 6 8 10
If you need more information just let me know.
Thanks
Click here to see answer by Alan3354(69443)

Question 748647: log(x+9)=log(2x-7)
I do not need the answer so much as how to do this.
Click here to see answer by timvanswearingen(106)

Question 748655: These questions confuse me a bit and this site has helped me before. Thank you, please show me how to solve these problems (for x) .
16) log(x+4)-log6=1
18) log(x-1)^2=log(-5x-1)
please help. thank you again so much.
Click here to see answer by stanbon(75887)

Question 748885: 3^(2x-1)=6^(x+2)
Click here to see answer by lwsshak3(11628)

Question 749112: how do I solve ln (5-x) =12 ?
Click here to see answer by timvanswearingen(106)

Question 749134: Logx-log2=3
Click here to see answer by nerdybill(7384)

Question 749425: Explain how to write 8a^9/125a^6 as an expression with only one exponent
Click here to see answer by checkley79(3341)

Question 749560: I can not seem to figure this question out...
log[4](x+3)-log[4](x+2) >= 3/2
Click here to see answer by KMST(5328)

Question 750171: 3.5 x 7^(4x-1)= 1000^(3-x)
find what x equals
Click here to see answer by Alan3354(69443)

Question 750242: please help me solve this problem it is a logarithmic, I think. As a town gets smaller, the population of its high school decreases by 12% each year. the student body numbers 125 students now. in how many years will it number about 75 students?
Click here to see answer by josgarithmetic(39620)

Question 750427: How do you solve this problem: -3ex<-7?
I tried to figure it out. I could only get this far > -3ex=-7ex
Click here to see answer by MathLover1(20850)

Question 750564: Write an exponential function whose graph passes through the points (0, -6) and (-2, -54)
Click here to see answer by MathLover1(20850)

Question 750798: 4^2x+1 = 671

Thank you for your help!
Click here to see answer by timvanswearingen(106)

Question 750903: You invest $1,300 in an account with an annual interest rate of 2.5%, compounded monthly. How much money is in the account after 5 years? Round your answer to the nearest whole number.
Click here to see answer by stanbon(75887)

Question 750949: subtract and simplify
4/(x+1) - (2-x)/x
Click here to see answer by tommyt3rd(5050)

Question 751125: the max population that earth can sustain is 40 billion. if the current population is 4.2 billion, in how many years will the max population be reached? Assume that each year the population is 2% more than the previous year.
Click here to see answer by nerdybill(7384)

Question 751743: how would I solve log(5x+7)=2??

thanks!
Click here to see answer by tommyt3rd(5050)

Question 751815: The population of a colony of rabbits grows exponentially. The colony started with 10 rabbits and five years later, there were 340 rabbits.
1) Write a formula for the population of the colony of rabbits as a function of the number of years since it was founded (but not "e" base).
2) How many rabbits will there be TEN years after the start of the colony?
3) Approximately how long will it take for the population of the colony to reach 1000 rabbits?

Thank you in advance for your time and assistance.
Click here to see answer by josgarithmetic(39620)

Question 751956: Which of the following is true about the function below?
(1)/(√(x+4))
Click here to see answer by tommyt3rd(5050)

Question 752465: solve for x for the equation:
X^2(10^x)-x10^x=2(10^x)
Thank you :)
Click here to see answer by MathTherapy(10552)

Question 752738: logbase5(x+2)+logbase5(x-1)=2??
I tried solving it but I don't know If I am write
I did (x+2)(x-1)=5^2
x+2=25(x-1)
x+2=25x-25
-24x=-27
x=9/8????
I am I right? I think I am wrong
or is the problem even solvable?
Click here to see answer by josgarithmetic(39620)

Question 752835: 2^(2x+3)=3^(3x) how would you solve this?, with logs or by making the base the same by using zero for the base to be 1

Click here to see answer by sachi(548)

Question 753067: the number of bacteria present in a culture is modeled by the formula N=100e^5t where N is the number of bacteria present after t hours. To the nearest tenth, in how many hours will N equal 20,000?
Click here to see answer by gingertea(7)

Question 753722: solve for x
12000(1-0.06)^x=8000
Click here to see answer by Alan3354(69443)

Question 753722: solve for x
12000(1-0.06)^x=8000
Click here to see answer by stanbon(75887)

Question 746184: Can you please solve this for x: (3x-2)/(x-1)=((2)/(x^2-1))+((3x+2)/x+1))

Thankyou
Click here to see answer by tommyt3rd(5050)

Question 744300: How do I solve 5+2ln(x)=8
Click here to see answer by tommyt3rd(5050)

Question 745175: if xy= 16x^2 + y^2 = 4 then the value of (4x+y)^2=
Click here to see answer by tommyt3rd(5050)

Question 747267: 3^log3(8x-4)=5
(base of 3)
Click here to see answer by tommyt3rd(5050)

Question 753927: Solve Log(x^2+7)=3
Click here to see answer by lwsshak3(11628)

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