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

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Question 246588: log2%28y%2B4%29%2Blog2y=5
Click here to see answer by stanbon(75887) About Me 

Question 246607: Hello,
Help!! Help!! Help!!

I have submitted these two problems three time can someone please help me, I really would appreciate your assistance, I need to get these answer in today or I fail the assignment.
a. Find the vertex, the axis of symmetry, and the maximum or minimum function
value and,

b.graph the function

1. Complete the square to find the x-intercepts of each function given by the equation listed; %28x%29=x%5E2%2B5x%2B2


2. t%5E4-11t%5E2%2B18
Please help me, I am desperate. Thank you
Tammy

Click here to see answer by dabanfield(803) About Me 

Question 246639: log+base3%282x-1%29=2
Click here to see answer by edjones(8007) About Me 

Question 246811: I am looking for help with the following problem:
"Cathy hit a golf ball 140 yards down the fairway. If the ball reaches a maximum height of 20 yards, find the equation for the height of the golf ball verses the distance it has traveled. Assume a parabolic path."
Thank you for your help.

Click here to see answer by stanbon(75887) About Me 

Question 246762: e=? (LOG FUNC.)
Click here to see answer by Theo(13342) About Me 

Question 247161: Solve. log2(x^2-1)=3
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Question 246582: "condense" 3log+x+%2B+log+7 and "expand" ln3xy
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 247302: 3log{2}x=-log{2}27
Click here to see answer by stanbon(75887) About Me 

Question 247772: log (base 81) 9= i have 81^x=9 but i do not know what to do next.
log (base x) (1/36)=-2 i have x^-2=(1/36) but i dont know what to do next

Click here to see answer by Alan3354(69443) About Me 

Question 247806: express as a single logarithm
3log{5}4+1/7log{5}(x-9)-1/2log{5}x

Click here to see answer by Fombitz(32388) About Me 

Question 247880: when i type in a negative number and square it i get a negative result even thought the answer should be positive. for example if i type in -6^2 i'll get -36 instead of 36. I have a Ti-84 but i also have the same problem on an 83 and an 89 titanium. how do i fix it?
Click here to see answer by scott8148(6628) About Me 

Question 248794: Solve the equation 3 raised to the 3x power = 9 raised to the x+1 power
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Question 248793: Solve the equation for X.
10 raised to the x power =0.028

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Question 248793: Solve the equation for X.
10 raised to the x power =0.028

Click here to see answer by richwmiller(17219) About Me 
Question 248793: Solve the equation for X.
10 raised to the x power =0.028

Click here to see answer by Alan3354(69443) About Me 

Question 248791: Solve the equation for x.
3=log base of 2 number x Log2 X

Click here to see answer by stanbon(75887) About Me 

Question 248790: If $1500 is invested at an interest of 11%, compounded continuously, determine the balance in the account after 4 year. Use the formual A=Pe raised rt.
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Question 248789: Evaluate the logarthmic expression to the nearest thousandth.
Log base of 5 number 945 Log5 945

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Question 248789: Evaluate the logarthmic expression to the nearest thousandth.
Log base of 5 number 945 Log5 945

Click here to see answer by Alan3354(69443) About Me 

Question 248787: A scientist found that the number of bacteria in a culture doubled every hour. If there were 4500 bacteria at 3:00 A.M., how many bacteria were there at 6:00 A.M.?
Click here to see answer by Alan3354(69443) About Me 

Question 248786: Evaluate 3(4) raised to the X power x=3.4
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Question 248788: Find the final amout of the investment
$14,500 invested at 3% compounded semi-annually for 6.5 years.

Click here to see answer by scott8148(6628) About Me 

Question 248891: Solve. Give exact solution with approximate solution to four decimal places

ln(ln x)=8

Click here to see answer by jsmallt9(3758) About Me 

Question 248997: simplify:
cube root of 144+cube root of 2/3-5 times cube root of 18
-Tammam Ahmed

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Question 249315: Rewrite as an equivalent exponential equation:
Log_10 1 = 0

Click here to see answer by edjones(8007) About Me 

Question 249342: How do you solve: +4%5E%28x-4%29=0.5%5E%285-2x%29+.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 249456: what does this equation equal?
1.17(1+.029)^7

Click here to see answer by rfer(16322) About Me 

Question 249639: 5x^2+32x+35
I need help factoring this equation.
I tried (x+5)(5x+7) because 5x7 is 35 but I don't know how to get it to when 7+5 is 32.

Click here to see answer by scott8148(6628) About Me 

Question 249856: true or false
loguv+loguv=log2uv
explain your process.

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Question 250055: explain is the difference between a logarithm of a product and the product of logarithm and give example of each.

Click here to see answer by Theo(13342) About Me 

Question 250492: 8^(3x-2)=64
Click here to see answer by jsmallt9(3758) About Me 

Question 250432: log base 5 of 30
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Question 250393: if f(x) = 3^(2 - 3x)
then the value of [f(1 + x)][f(1 - x)] is....?
Thanks for your help , PLEASE SHOW steps... I don't really understand what f of x really means.

Click here to see answer by richwmiller(17219) About Me 

Question 250669: My questionis this.
Solve for x.
33.5(3/4)^x = 50(2/3)^x
How would I solve this???
Thanks!!!

Click here to see answer by stanbon(75887) About Me 

Question 250880: A piece of charcoal is found to contain 30% of the carbon 14 that it originally had. When did the tree die from which the charcoal came? Use 5600 years as the half-life of carbon 14.
Click here to see answer by Theo(13342) About Me 

Question 251139: How would you do a problem like, (3^x)/((3^x)+3)=1/3
Click here to see answer by jsmallt9(3758) About Me 
Question 251139: How would you do a problem like, (3^x)/((3^x)+3)=1/3
Click here to see answer by solver91311(24713) About Me 

Question 251359: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y = log4 (x + 2)

Click here to see answer by solver91311(24713) About Me 

Question 251355: In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function.
Click here to see answer by checkley77(12844) About Me 

Question 251602: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this
Log2 sqrt of x^2-4=1

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Question 251449: P₀ is invested in a savings account where interest is compounded continuously at 3.1% per year.
a) Express P(t) in terms of P₀ and 0.031
b) Suppose that 1000$ is invested, what is the balance after 1 yr? 2 yrs?
c) When will an investment of 1000$ double itself?



Helpful formula:
When an amount of money P₀ is invested at interest rate k, compounded continuously, interest is computed every instant and added to the original amount. The balance P(t), after t years, is given by the exponential growth model
P(t)=P₀e^kt

Click here to see answer by Theo(13342) About Me 

Question 251723: Find (f ◦ g)(-1), (g ◦ f)(-1), (f ◦ g)(x), and (g ◦ f)(x) where f(x) = 3x2 - 4 and g(x) = 2x + 1.
Click here to see answer by nyc_function(2741) About Me 

Question 252075: A bacteria culture grows by the exponential model y = 200ekt. How many bacteria
are there initially? If the number of bacteria triples in 2 hours, find the number of
bacteria after 5 hours.

Click here to see answer by drk(1908) About Me 
Question 252075: A bacteria culture grows by the exponential model y = 200ekt. How many bacteria
are there initially? If the number of bacteria triples in 2 hours, find the number of
bacteria after 5 hours.

Click here to see answer by MRperkins(300) About Me 

Question 252076: Happyville and Smileytown both have a population of 10,000 people presently. Hap-
pyville is increasing by 1500 people a year and Smileytown is increasing by 15% a
year.
a) Which town is growing faster?
b) Find formulas for the populations of these towns as function of time t in years.
c) Use part b) to predict the size of both towns 5 years from now.
d) Find a year in which population of Happyville will be over 25000. Do the same
for Smileytown.

Click here to see answer by stanbon(75887) About Me 

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