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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 237811: How do I type in logb2 into my calculator. I have the answer to this problem which is .3562 but I can't figure out how my teacher got that answer on my ti-83 calculator. Click here to see answer by College Student(505)

 Question 238613: I am struggling to solve this problem: 3 to the square root of 12x + 3 3 to the square root of 3x ---------------------------------- = 4 Sorry I don't know how to formally write it out on the computer Click here to see answer by stanbon(57361)

 Question 238812: Determine the transformations on f(x)= log x for f(x) = 3log(x-2) 4 possible answers shift 2 units down vertical stretch of 3 shift 2 units down horizontal stretch of 3 shift 2 units right vertical stretch of 3 shift 2 units left vertical stretch of 3 Click here to see answer by Edwin McCravy(8909)

 Question 238983: In the equation P=C(1+r/n)^nt for compounding interest what does the ^ stand for and how would you calculate it if: C= 3150 r=2 n=365 t=1 Click here to see answer by nerdybill(6962)

 Question 239310: teacher wants 2 very different ways to transform/translate graph of log(8-x)? I found one way using two steps, but I need a second way using 1 step. log(-1)(x-8)= log(-1) + log(x-8)....log(x-8) is a horizontal shift to right, but log(-1) is not defined, so is this OK?? Click here to see answer by jsmallt9(3296)

 Question 239388: four two x square minus one = eight xpower Click here to see answer by nyc_function(2733)

 Question 239293: When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The beer-lambert-bougar law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 75% for each additionial meter of depth. a) Explain why intensity I is an exponential function of depth d in meters b) Use a formula to express intensity I as an exponential function of d. (use I0 to denote the initial intensity.) c) Explain in practical terms the meaning of I0. d) At what depth will the intensity of light be one tenth of the intensity of light striking the surface? Click here to see answer by jsmallt9(3296)

 Question 239558: I need help solving log base 5 x=3 Click here to see answer by Alan3354(30993)

 Question 239516: for what value(s) of k does kt^2 - 6t + k = 0 have imaginary roots? Click here to see answer by solver91311(16897)

 Question 239772: An investment with an interest compounded continuously doubled itself in 12 years. What is the interest rate? Click here to see answer by Theo(3464)

 Question 239904: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain? Click here to see answer by jsmallt9(3296)

 Question 239910: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain? Click here to see answer by jsmallt9(3296)

 Question 239899: State the domain and range of each function.... g(x)=ln(2x-1) f(x)=1-e^x Click here to see answer by jsmallt9(3296)

 Question 240057: Can you simplify it?( no negative exponent) (6x^3y^-4z^5)^-2 Can you find x? square root of (64^x) = 256 Please help as soon as you can! Thanks Click here to see answer by stanbon(57361)

 Question 240558: What is 7 to the 4th power? what is 10 to the 6th power? Click here to see answer by rfer(12662)

 Question 240582: i am really stumped here! f(x)=e^2x what is f(1/4)? Click here to see answer by rapaljer(4667)

 Question 240669: I am stumped, i know you plug in the bottom formula but trying to solve it has me confused g(x)=x^2+3x h(x)=(x+3)/2 find (h*g)(-1) Click here to see answer by stanbon(57361)

 Question 241226: I'm unsure how to solve log2(square root of xy to the 3rd power) Click here to see answer by Alan3354(30993)

 Question 242212: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this. 500/(1+2e^(-0.4x))=250 The next step is supposed to be 500=250+500e^(-0.4x) But how do you get that second 500? Click here to see answer by solver91311(16897)

 Question 242236: How do you solve the problem for 10 years if t is time: Oh and this is working with e as in the base of a natural log. Click here to see answer by solver91311(16897)

 Question 242918: simplify log base a a8 a.a^8 b.8log base a a c. 1 d.8 I chose d. Is this correct? Click here to see answer by jim_thompson5910(28595)

 Question 242916: Solve the exponenetial equation 3^(1+2x)=243 a)2 b)-2 c)6 d)81 I think the answer is A Please let me know. thanks Click here to see answer by jim_thompson5910(28595)

 Question 242919: Express as a difference of logarithms log base b 5/w Is log base b 5-log base b w the answer? Click here to see answer by jim_thompson5910(28595)