Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 941496: Perform the multiplication indicated leaving answers in exponential form.
(6a^1/2)(b^3/2)(2a^1/4)b^0
Not sure what it's asking really, I know when you multiply, you add the exponents. Can anyone help me understand? Thanks!
Click here to see answer by MathLover1(20850)   |
Question 942365: I am trying to figure out this problem, the example shown in the book shows as follows:
g(x)=2x^2+3 find g(c+5)
It is broken down as follows:
=g(c+5)= 2(c+5)^2 +3
=2(c^2+10c+25) +3
I am going to stop at that second step. Where is the "c" after the 10 coming from?
TIA
Click here to see answer by josgarithmetic(39620) |
Question 943743: Consider the expression y = rlog(n) (x+p)^w. An equivalent exponential expression is:
a. n^y = r(x+p)^w
b. n^y = (x+p)^w^r
c. n^y = (x+p)^w-r
d. n^y = (x+p)^w+r
Confused on how to solve this question, I have many more just like this one and do not know the steps to take to solve this. What do I do?
Thank you
Click here to see answer by stanbon(75887) |
Question 944210: Which of the following expressions is equivalent to 0.5(log(2)(x+1)-log(2)(x^2+2x+1)), where x can not equal -1? 2 = base of the logarithm
a. log(2)sqrt(1/x+1)
b. log(2)sqrt(x+1)
c. log(2)((x^2+2x+1)(x+1))
d. -3log(2)x
How do I go about solving a question like this, trying to find examples but I am struggling to find any, if someone could give me a step by step breakdown that would be greatly appreciated.
Thank you
Click here to see answer by stanbon(75887) |
Question 944210: Which of the following expressions is equivalent to 0.5(log(2)(x+1)-log(2)(x^2+2x+1)), where x can not equal -1? 2 = base of the logarithm
a. log(2)sqrt(1/x+1)
b. log(2)sqrt(x+1)
c. log(2)((x^2+2x+1)(x+1))
d. -3log(2)x
How do I go about solving a question like this, trying to find examples but I am struggling to find any, if someone could give me a step by step breakdown that would be greatly appreciated.
Thank you
Click here to see answer by Alan3354(69443)  |
Question 944492: A mathematical model for world population growth over short periods of time is given by P = P(0)e^rt where P(0)= population at t=0, r = rate compounded continuously, t = time in years, and P = population at time t.
How long will it take the earth's population to double if it continues to grow at its current rate of 2% per year(compounded continuously)?
Click here to see answer by josgarithmetic(39620) |
Question 944472: Because of the extraordinary range of sensitivity of the human ear (a range of over 1000 million to 1), it is helpful to use a logarithmic scale to measure sound intensity over this range rather than absolute scale. The unit of measure is called the decibel, after the inventor of the telephone, Alexander Graham Bell. If w let N be the number of decibels, I the power of the sound in question in watts per cubic centimeter and I(0) the power of sound just below the threshold of hearing (approximately 10^-16 watt/square centimeter, I = I(0)10^N/10
Show that this formula can be written in the form N = 10 log (I/I(0)).
Click here to see answer by ankor@dixie-net.com(22740)  |
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