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anonymous
 one year ago
Erika was working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation and how solving would be different if the bases were equal. (10 points)
anonymous
 one year ago
Erika was working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation and how solving would be different if the bases were equal. (10 points)

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Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.0Erika could solve with a calculator and do trial and error until she found some power of 5 that would equal 17 (it's a little above 1.76 by this method). But being a smart person, Erika would see that the best solution would be to take logs of both sides Log 5^x = log 17....... Erika knows that log 5^x = x(log 5) x(log 5) = log 17 0.69897x = 1.2304489....divide across by 0.69897 x = 1.76055, a much more precise solution With the above you can surely write a few sentences.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i saw that on yahoo answers but i dont think my teacher would like the trial and error part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's ok ill use that for that question but how about this one Brett has determined a function f(x) that shows the exponential growth of the number of shoes Larae owns each year. Explain how the f1(x) can be found and what f1(132) means. (10 points)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and for the first one there's the equal bases part

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2`Erika was working on solving the exponential equation` \(\LARGE 50^x = 17\) `; however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation and how solving would be different if the bases were equal.` use logs to isolate exponents example \[\large 2^x = 10 \implies x = \log_{\ 2}(10) = \frac{\log(10)}{\log(2)} \approx 3.3219\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I used the change of base formula to get the approximate decimal form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would i write x=log50(17)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah \[\LARGE x = \log_{50}(17)\] then you use the change of base formula to get the approximate value of x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2Rules: \[\Large b^x = y \rightarrow x = \log_b(y)\] Change of base formula \[\Large \log_{b}\left(x\right)=\frac{\log\left(x\right)}{\log\left(b\right)}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I'm getting 0.724 as well

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so that means \[\LARGE 50^{0.724} \approx 17\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yay thanks! what about the second part? like if the bases were equal

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2if the bases are equal, then you can set the exponents equal and solve for x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks so much you're the best! Dan who??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2example \[\Large 2^3 = 2^{x+1}\] the bases are both 2, so the exponents must be equal therefore, 3 = x+1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what about for the brett problem? Brett has determined a function f(x) that shows the exponential growth of the number of shoes Larae owns each year. Explain how the f1(x) can be found and what f1(132) means. (10 points)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2by " f1(x)" you mean \(\LARGE f^{1}(x)\) right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what does that notation mean? any ideas?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no i dont understand it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2it means "inverse function of f"

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the inverse undoes whatever operation was applied so say you add initially, the inverse would be subtraction if you multiply, the inverse is division if you square something, the inverse is the square root

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it can be found depending on what has been done?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would f1(132) be 132

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what undoes exponents?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yes you will use logs to get the inverse of f we can't actually find the inverse since we don't know what the function f is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so for what it means would i just write it means the inverse of 132? or the inverse of f of 132?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the original f(x) function takes an x value, which is the number of years, and produces a y value y = f(x) in goes x > out comes y or f(x) x = number of years y = number of shoes

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the inverse takes everything in reverse because we're undoing everything with the inverse, the y value is now the input, the x is the output in goes y into the inverse > out comes x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2why is this important? because we can use the inverse to answer questions like "in what year will the number of shoes be 132?"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would be right if i wrote that f1(132) means that you take the inverse of it and now the y value is the input and the x is the output?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436396943396:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436396954380:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and you're patient and good at explaining things
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