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

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Question 241226: I'm unsure how to solve log2(square root of xy to the 3rd power)
Click here to see answer by Alan3354(6059)

Question 240966: how do negative exponents work?

Click here to see answer by checkley77(7035)

Question 240900: how do you solve e^x+7=98?
Click here to see answer by Earlsdon(4898)

Question 240807: log 8 (sqrt 8^9) = n
Click here to see answer by JimboP1977(75)

Question 240807: log 8 (sqrt 8^9) = n
Click here to see answer by jsmallt9(590)

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(26259)

Question 240582: i am really stumped here!
f(x)=e^2x
what is f(1/4)?
Click here to see answer by rapaljer(3610)

Question 240558: What is 7 to the 4th power?
what is 10 to the 6th power?
Click here to see answer by rfer(2688)

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(26259)

Question 239764: solve for an exact answer 4^(x+2) = 7^(3x)

Click here to see answer by jsmallt9(590)

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(590)

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(590)

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(590)

Question 239765: Solve for exact answer lnx = 11
Click here to see answer by Theo(667)

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(667)

Question 239516: for what value(s) of k does kt^2 - 6t + k = 0 have imaginary roots?
Click here to see answer by solver91311(5072)

Question 239558: I need help solving log base 5 x=3
Click here to see answer by Alan3354(6059)

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(590)

Question 238089: log_x 100 = 1/2
log_x1024 = 10
Click here to see answer by jsmallt9(590)

Question 239388: four two x square minus one = eight xpower
Click here to see answer by nyc_function(260)

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(590)

Question 239018: What percent of 7 is 0.04?
Click here to see answer by Theo(667)

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(2446)

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(2920)

Question 238765: how do i solve 3x^(3)+x^(2)-13x+5?
Click here to see answer by Alan3354(6059)

Question 238662: (log4(log4^x))=-4
Click here to see answer by jsmallt9(590)

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(26259)

Question 238133: 4*(-3((-1)^2-3)^2
Click here to see answer by RAY100(1637)

Question 238097: log_8 (1/4) =
Click here to see answer by solver91311(5072)

Question 237837: x^2+6x+9-y^2
it asks me: factoring harder differences of two squares
Click here to see answer by solver91311(5072)

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(208)

Question 237808: factoring a harder difference of two squares:
(x-3)^2 - 4z^2
i dont know how to factor this
Click here to see answer by solver91311(5072)

Question 237654: g(x) = x2 + 3x
h(x) = (x + 3)/2
Find: (h o g)(-1)
Click here to see answer by stanbon(26259)

Question 237545: (2/5)^x=(125/8)
Click here to see answer by jim_thompson5910(13787)

Question 237322: Given the function f is defined by f(x)= 6- x^2, find f(a-1) and simplify.
Could somebody solve this problem for me with an explaination?
Thanks
Click here to see answer by solver91311(5072)

Question 236358: Express x^2/3(y^5 z)^1/3 using radicals.
Thanks a lot!
Click here to see answer by user_dude2008(715)

Question 234838: x^4-29x^2+100=0
Click here to see answer by jim_thompson5910(13787)

Question 234838: x^4-29x^2+100=0
Click here to see answer by JaspersHeart(2)

Question 236337: simplify ,assume that no denominator is equal to zero
t raise to the power of 7 over t raise to the power of 2
Click here to see answer by jim_thompson5910(13787)

Question 236404: How do I do these?
Solve the equation 9^x-1=(1/3)^2x
Solve the equation 4^3x-1=1.5625x10^-2
Click here to see answer by Earlsdon(4898)

Question 236370: Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000. determine the percentage of spam in the year 2005
Click here to see answer by checkley77(7035)

Question 235930: What is the solution to the equation ln( x+1) - ln(x) = 2
Click here to see answer by stanbon(26259)

Question 235924: What are the inverse of the functions f(x)=10^x and log10^x?
Click here to see answer by stanbon(26259)

Question 234563: Express as a product
Q: log base b t^8
I don't know how to type the the letter "b" next to the word like on my paper, it is lower than the word log and the number 8 is an exponent of the letter t.
Thank you in advance
Click here to see answer by Alan3354(6059)

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