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shannondidier
Group Title
Which of the following is the solution of log x + 50.001 = 3 ?
 one year ago
 one year ago
shannondidier Group Title
Which of the following is the solution of log x + 50.001 = 3 ?
 one year ago
 one year ago

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shannondidier Group TitleBest ResponseYou've already chosen the best response.0
here are the answer choices x = 5 x = 7 x = 13 x = 15
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.1
Well Lets try to isolate x So first we subtract 50.001 from both sides logx=53.001
 one year ago

shannondidier Group TitleBest ResponseYou've already chosen the best response.0
i typed it wrong, its base x+5 to the 0.0013
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.1
Then we know that \( e^{ \log{x}} =x\) So \( e^{ \log{x}}=e^{53.001}\)
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.1
hmmmm Can you retype it please cuz I dont think I am following?
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
better yet, draw it!
 one year ago

vinnv226 Group TitleBest ResponseYou've already chosen the best response.0
@shannondidier What should we use as the base of the unspecified "log?" Some people interpret this as log base 10, others interpret it as the natural log (base e)
 one year ago

shannondidier Group TitleBest ResponseYou've already chosen the best response.0
dw:1373413752114:dw
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.1
Seems like the base is x+5 not 10
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
ah, that's much different :)
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.1
yaaaaaaaaaaaa
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
so it is asking us to find a value \(x\) such that \[(x+5)^{3} = 0.001\]
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
Here's a hint: \[x^{n} = \frac{1}{x^n}\] and \[0.001 = \frac{1}{1000}\]
 one year ago

shannondidier Group TitleBest ResponseYou've already chosen the best response.0
yeah i understand that. so whats the final answer?
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
okay, look at your answer choices. do any of them + 5 = a number that when raised to the 3 power = 0.001, or when raised to the 3 power = 1000?
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
maybe work backwards — what number cubed gives you 1000?
 one year ago

shannondidier Group TitleBest ResponseYou've already chosen the best response.0
x = 5 x = 7 x = 13 x = 15 would it be x=5
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
it would! \[(5+5)^{3} = 10^{3} = \frac{1}{10^3} = \frac{1}{1000} = 0.001\]
 one year ago

shannondidier Group TitleBest ResponseYou've already chosen the best response.0
thank you!!!
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
next time, please don't make us do a warmup problem ;)
 one year ago
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