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 366762: Simplify
1000^4/3
Click here to see answer by robertb(5830)

Question 366768: Simplify
64^4/3
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Question 366768: Simplify
64^4/3
Click here to see answer by mananth(16946)

Question 366767: Simplify
(-27)^2/3
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Question 366766: Simplify
8^1/3
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Question 366765: Simplify
(-64)^-2/3
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Question 366764: Simplify
16^3/2
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Question 366761: Graph each function on the same coordinate plane. List any similarities and differences between the graphs.
y=2x^x y=3(2)^x y=1/2(2)^x
Click here to see answer by Fombitz(32388)

Question 366760: Graph each function on the same coordinate plane. List any similarities and differences between the graphs.
y=(1/2)^x y=4(1/2)^x y=1/2(1/2)^x
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Question 366758: Graph each function on the same coordinate plane. List any similarities and differences between the graphs.
y=3^x y=3^-x
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Question 367074: My daughter is having trouble with real exponents and exponential functions in Algebra 2 could you please show me how to work this problem out. There are not enough textbooks in her class for each student to have one to bring home so therefore I have nothing to go by. Thanks.
The problem is: {(n sqrt(6) + w sqrt (3) )}x{(n sqrt (6) - w sqrt (3) )}
Click here to see answer by Fombitz(32388)

Question 367537: Please solve!
Log base5 (6x-7) + log base5 x = 1

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Question 367713: how to graph the function y=log5x
Click here to see answer by Alan3354(69443)

Question 367526: (25/4)^x+1=(2/5)^x-1
Click here to see answer by jsmallt9(3758)

Question 367812: Find the sum of the geometric series: 1 + 1/2 + 1/4 + 1/8 +....
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Question 367815: Find sum of geometric series: 81+27+9+3....
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Question 367820: A child on a swing is given a big push. she travels 12 feet on the first back and forth swing, but only 5/6 as far on each successive swing. How far does she travel before the swing stops?
Click here to see answer by Edwin McCravy(20059)

Question 367832: Find the sum of the geometric series:16+8+4+2....
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Question 367833: Find the sum of the geometric series: 2+4+8+16+....
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Question 367833: Find the sum of the geometric series: 2+4+8+16+....
Click here to see answer by Edwin McCravy(20059)

Question 367819: Suppose a balloon is filled with 5000 cm^3 of helium. It then loses one-fourth of it helium per day. How much helium would be left after 9 days?
Click here to see answer by Alan3354(69443)

Question 368383: If f(x)=log2x and g(x)=2x^2+14, determine the value of (f∘g)(5).
Click here to see answer by Fombitz(32388)

Question 368455: How do I solve this problem? 8^x^2=9^x
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Question 368448: How do I solve this problem? 7^(x^(2))=10
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Question 368510: Simplify.
Log 10,000
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Question 368561: Express the solution set in terms of natural logarithms.
4^x+4=5^2x+5
Click here to see answer by Fombitz(32388)

Question 368721: A car dealership offers two ways to decrease the cost of a new car the dealer will offer a 10% discount off the sticker price for buying today, and there is a manfacturer rebate offered of $2000 if you buy a GMC vehicle. You decide to buy a GMC Yukon for $50,000. Does it matter what order the dealer applies the two deals to lower your price? Calculate the cost with the discount first and then rebate second. Calculate the cost with the rebate first and then the discount econd. Is there a difference
Click here to see answer by mananth(16946)

Question 368745: Does following represent a function? Explain.
X's: 3,4,5,-1,-2,-2
Y's: 5,9,12,3,0,-4
Click here to see answer by stanbon(75887)

Question 368792: (x^2y)(3x)
Click here to see answer by fractalier(6550)

Question 368790: Integrate (using substitution).
int(6 t (4 t^2 - 1)^9) dt

Click here to see answer by Fombitz(32388)

Question 368729: Does the following represent a function
(1,1),(2,4),(3,9),(4,16),(-1,1),(-2,4)
Click here to see answer by robertb(5830)

Question 368909: I understand how I arrived at the equation I just can't get my calculator to work. I'm not sure how to input it into my calculator but what I need to find is
log 81+ 2log 4
--------------
log 4-log 3
In words: Log eighty one plus two log four divided by log four minus log 3.
I have to find the decimal approximation to the nearest thousandth.
Thank You very much for your help.
Erica

Click here to see answer by haileytucki(390)

Question 368653: Write the expression in terms of simpler logarithmic forms.
ln x^4y^2/z^1/2
Click here to see answer by jsmallt9(3758)

Question 369724: Solve for x.
e^-3x+2=40
Click here to see answer by nerdybill(7384)

Question 369722: Solve for x.
log x-log 3=2
Click here to see answer by nerdybill(7384)

Question 369758: Find the indefinite integral:
(3x^3 - 6x + 2) dx
Click here to see answer by user_dude2008(1862)

Question 369820: Find an exponential function with an initial mass = 12mg and increasing at a rate of 10.2% per hour. How would I do this!?
Click here to see answer by solver91311(24713)

Question 369422: A=A0(1.0177)^13*t what is the annual growth factor?
Click here to see answer by jsmallt9(3758)

Question 369761: Find the area under the curve:
y = 4x + (1/x2) from x = 1 to x = 4
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Question 370643: if a driver takes one second to apply brakes, how many meters will the car travel before the driver applies the brakes while travelling at 40
Click here to see answer by amoresroy(361)

Question 370649: if x^2+1/x^2=38, find x^4+1/x^4
Click here to see answer by robertb(5830)

Question 370656: the area of 2 circle are in ratio of 16:25 find the ratio of their circumference

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Question 370658: by selling a towel for rs. 126.90, a man loses 6%, for how much should he sell to gain 4%

Click here to see answer by mananth(16946)

Question 370682: A and Bcan do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work seprately

Click here to see answer by stanbon(75887)

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