Exponentials-and-logs

Unit 9 - Exponentials & Logarithms
Big ideas:
 * [|Essential Topics:Exponentials & Logarithms]
 * when you are linearizing a set of data, you use log-log when it is a power function, and semi-log when it is an exponential.

Helpful hints:
 * exponential growth: A(t) = a(1 + r) ^t
 * A = amount after t time periods
 * t = number of time periods
 * a = initial amount
 * r = rate of growth/decay
 * growth if r>0
 * decay if r<0

Sample Problems: (click here for solutions to these problems)
 * 1) logbase3(x+6) - logbase3(x+3) = 2 solve for x robert w
 * 2) Solve: 5^x=23 -Bailey
 * 3) Solve: log(5)x=3
 * 4) A lab culture currently contains 6437 bacteria. The bacteria are doubling ever 7 hours. Write an expression that gives the number of bacteria in the culture 10 hours from now.
 * 5) Do exponential's have a vertical or a horizontal asymptote? -- Priyanka No, but they could be transformed I'm pretty sure. *No, they definitely have horizontal asymptotes.*
 * 6) y varies exponentially with x. How do you make that linear?
 * 7) how do you linearize a power set of data?
 * 8) 3(4logm^2)=4 solve for m
 * 9) if there were 150 whales in the ocean in 2008, and 120 whales in the ocean in 2009, how many whales will be left on earth in 2014 if the trend continues? robert w
 * 10) solve for x: log(5)sqrt(x-4) = 2 robert w
 * 11) solve for x: log(5)5x=4 Alexis