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 147718: Can you help me with this please? What is the difference between #1 and #2 below? #1 --> Log(A * B) #2 --> Log(A) * Log(B) also... compare: #1 - Log2(2 * 8) vs. #2 - Log2(2)*Log2(8) Are the values different? Why? Can you show me another example? Thank you Click here to see answer by mangopeeler07(462)

 Question 147517: Evaluate 1000(1.025)^-6. Round your answer to three decimal places. I have done this f(x)=3^x x y 0 3^0 =1 1 3^1 =3 2 3^2 =9 Thanks Click here to see answer by Alan3354(30993)

 Question 147786: Find the domain of g(t)=5^t? Is the answer t is the set of all real numbers? Click here to see answer by jim_thompson5910(28593)

 Question 147784: Find the domain of g(x)=ln(x+4)? I am not sure what to do for this question with the ln? Help? Click here to see answer by jim_thompson5910(28593)

 Question 147790: g(x)=e^x+3 Description of transformation: Equation(s) from Horizontal Asymptote(s): y-intercept in (x,y) form: I am not sure what this is asking me to do? Help Click here to see answer by Fombitz(13828)

 Question 147848: If h(x)=a*b^x, h(0)=5, and h(1)=15, find the particular equation for this exponential function. I really don't understand what this question is asking. Click here to see answer by nabla(475)

 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(13828)

 Question 147939: How do you solve this: log(M*the 4th root of N)? Click here to see answer by stanbon(57307)

 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(7569)

 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(28593)

 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(57307)

 Question 148686: how do i solve a log with a base of 3 and exponent of 81 Click here to see answer by stanbon(57307)

 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(891)

 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(891)
 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 mangopeeler07(462)

 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(28593)

 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(28593)

 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 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(30993)

 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(57307)
 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 jim_thompson5910(28593)

 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(15649)
 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 jim_thompson5910(28593)

 Question 150409: Expand using the properties of logarithms: ln W^17 Z^7 Click here to see answer by stanbon(57307)

 Question 150408: Expand using properties of logarithms: log(base of 9) 44/d^12 f^30 Click here to see answer by stanbon(57307)

 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(7569)