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 147841: What would you do to simplify the 3rd root of 125^n*5^(4n)/25^-n without negative exponents and decimals in the final answer?
Click here to see answer by Fombitz(32388)

Question 147936: How would you solve: ln1/e ?
Click here to see answer by scott8148(6628)

Question 147939: How do you solve this: log(M*the 4th root of N)?
Click here to see answer by stanbon(75887)

Question 147950: h(x)=e^-x, description of transformation,equations from the horizontal asympotes and y-intercept in (x,y) form? What do i do with the -x??
Click here to see answer by edjones(8007)

Question 147815: h(x)e^-x Description of transformation, Equations for the Horizontal Asymptote, y-intercept in (x,y) form. I am not sure how to do this one becuase of the -x? Help
Click here to see answer by Nate(3500)

Question 148215: Determine x for 10^2x + 1 = 1000^x - 1
a. x = -2
b. x = 4
c. x = 9
d. No solution

Click here to see answer by jim_thompson5910(35256)

Question 148317: Let f(x) = 1/x. Show that (f * f)(x) = x for all nonzero value of x.

Thank you for your help ahead of time.
It's very appeciated.
Click here to see answer by stanbon(75887)

Question 148328: LOG 0.01=-2
Click here to see answer by Alan3354(69443)

Question 148565: log base 5 exponent of 625
Click here to see answer by stanbon(75887)

Question 148643: True or false? 2*3^x=6^x
Click here to see answer by mangopeeler07(462)

Question 148686: how do i solve a
log with a base of 3 and exponent of 81
Click here to see answer by stanbon(75887)

Question 148740: Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Click here to see answer by oscargut(2103)

Question 148739: A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice to help, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?
Click here to see answer by oscargut(2103)

Question 148757: How do I factor this trinomoial:
5x^2+16x+3
Click here to see answer by jim_thompson5910(35256)

Question 148757: How do I factor this trinomoial:
5x^2+16x+3
Click here to see answer by stanbon(75887)

Question 149307: How can I solve this problem if I do not have a value for r? In all the examples I see, there is always a value given for r.
5(1+(r/360)^720 = 12
Click here to see answer by jim_thompson5910(35256)

Question 149444: Please help me figure this out - step-by-step.
4y^-1/2 = 16
Thanks.
Click here to see answer by Fombitz(32388)

Question 149444: Please help me figure this out - step-by-step.
4y^-1/2 = 16
Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 149549: Please help me solve the following...
log6(6 is lower than the g) (x+3) + log6(6 is lower to the g)(x+4)=1
Click here to see answer by jim_thompson5910(35256)

Question 149932: 4[ln(z)+ln(z+5)]-2ln(z-50
i need to condense this to a single quantity. This is as far as I get.
[ln(z)+ln(z+5)]^4 - ln(z-5)^2 now can I pull another 2 out as a multiplier?like this: 2(ln(z+5))^4 - ln(z-5)^2 NOW I AM STUCK
Click here to see answer by jim_thompson5910(35256)

Question 149988: I have 2 questions:
1. What are the asymptotes of the functions f(x)=3^xn and g(x)= log52x ???
(Would this be a vertical asymptote? Would the denominator be 1?)
2. A cell divides into 2 identical copies every 4 minutes. How many cells will exist after 3 hours?
Thanks sooooooooooooo much for your help! I have this week and next and this class will be over, I've never felt so dumb in all my life! I can't find anything in my text about this - I am doing this as an online class, so there is very little help!
Click here to see answer by scott8148(6628)

Question 150206: r-3 is this a exponent.
Click here to see answer by stanbon(75887)

Question 150210: What is the answer 2^3 x 2^4 =

Click here to see answer by Alan3354(69443)

Question 150288: I need help with graphing Logarithmic function. What would this look like on a graph.

f(x)=(1/5)^x

HELP!!! I need assistance on this function. Your help is greatly appreciated.

Click here to see answer by Alan3354(69443)

Question 150386: Oh dear God please help me!!! We are studying Graphs of Exponential and Logarithmic Functions and I am so lost I'm about to send out the hound dogs, but seriously if someone could please help just get me started I would greatly appreciate it.
I am supposed to Plot the graphs of the following functions:I don't understand how
1. f(x) = 7x this x variable is actually an exponent so it is 7 to the x power
2. f(x) = 4x - 3 the x-3 here is also an exponent so it reads 4 to the x-3 power
3. f(x) = (1/5)x this is actually 1/5 to the x power again the x is an exponent
4. f(x) = log3x
Thank you guys for always helping me out. I can't wait till I get this degree so I can help yall out with some $$$.
Click here to see answer by jim_thompson5910(35256)

Question 150404: Hi
I'm confused with his question. However, my answer is below.
True or false: The function f(x)=3^x grows three times faster than the function g(x)=x. Explain.
MY answer is true because F(x)=3^x is exponential and grows faster because what ever the x (exponent) is, it multiplies that 3, that many times over. And the g(x)=x is one number muliplied with another number. Is this correct or am I thinking of it the wrong way? Please help, I'm the only one who has this different answer and I don't understand why they all have false.
Click here to see answer by stanbon(75887)

Question 150291: How do you graph f(x)=log3x?

I am so confused I don't even know where to begin. I need help with showing what this would look like on a graph.

I would like to say thank you in advance to anyone who can help me graph this. I am really grateful for your help.

Click here to see answer by ankor@dixie-net.com(22740)

Question 150409: Expand using the properties of logarithms: ln W^17 Z^7
Click here to see answer by stanbon(75887)

Question 150408: Expand using properties of logarithms: log(base of 9) 44/d^12 f^30
Click here to see answer by stanbon(75887)

Question 150352: In order to plot the graphs of the following functions, what do I do first? I am so lost!
f(x)=7^x
f(x)=4^x-3
f(x)=(1/5)^x
f(x)=log3x
Thanks for your help!
Click here to see answer by scott8148(6628)

Question 150336: Solve for X. Write in Decimal notation. e^x=7.32
Click here to see answer by edjones(8007)

Question 150335: Solve for X. write answer in decimal notation. ln x= 18.7
Click here to see answer by edjones(8007)

Question 150476: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. Use p = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate (b) If the cost to construct the plate is $7.50 per square inch, what is the construction cost?

Click here to see answer by nerdybill(7384)

Question 150544: How do I solve this equation?
4 to the power of x times two to the power of x squared, equal to 27 to the power of x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 150337: Sove for X. write in decimal notation. (73/24)^x=4/135
Click here to see answer by edjones(8007)

Question 150434: please tell me proper steps to solve the following problem:-
e^x where x=.31467 and x=.44673
Click here to see answer by edjones(8007)

Question 150660: Hi
Please help me tell the difference between a logarithmic function and a logarithmic equation? I have to come up a a logarithmic function. I wanted to turn my exponential function into the logarithmic function. My expo function is f(x)=6^x. My answer is f=18, is that correct? Please help me with the log function. Thank you in advance.
Click here to see answer by stanbon(75887)

Question 150736: Multiply as indicated
(2x-3)(3x-2)

Click here to see answer by Fombitz(32388)

Question 150780: CONDENSE to logarithm of a single quantity.
23/15[log(base5)N+log(base5)(N+11)-12/13log(base5)(n-10)

Click here to see answer by Fombitz(32388)

Question 150891: 2^2x=64
Click here to see answer by jim_thompson5910(35256)

Question 150891: 2^2x=64
Click here to see answer by Earlsdon(6294)

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