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Which of the following is the solution of log x + 50.001 = 3 ?
 9 months ago
 9 months ago
Which of the following is the solution of log x + 50.001 = 3 ?
 9 months ago
 9 months ago

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shannondidierBest ResponseYou've already chosen the best response.0
here are the answer choices x = 5 x = 7 x = 13 x = 15
 9 months ago

swissgirlBest 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
 9 months ago

shannondidierBest ResponseYou've already chosen the best response.0
i typed it wrong, its base x+5 to the 0.0013
 9 months ago

swissgirlBest ResponseYou've already chosen the best response.1
Then we know that \( e^{ \log{x}} =x\) So \( e^{ \log{x}}=e^{53.001}\)
 9 months ago

swissgirlBest ResponseYou've already chosen the best response.1
hmmmm Can you retype it please cuz I dont think I am following?
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
better yet, draw it!
 9 months ago

vinnv226Best 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)
 9 months ago

shannondidierBest ResponseYou've already chosen the best response.0
dw:1373413752114:dw
 9 months ago

swissgirlBest ResponseYou've already chosen the best response.1
Seems like the base is x+5 not 10
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
ah, that's much different :)
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
so it is asking us to find a value \(x\) such that \[(x+5)^{3} = 0.001\]
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
Here's a hint: \[x^{n} = \frac{1}{x^n}\] and \[0.001 = \frac{1}{1000}\]
 9 months ago

shannondidierBest ResponseYou've already chosen the best response.0
yeah i understand that. so whats the final answer?
 9 months ago

whpalmer4Best 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?
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
maybe work backwards — what number cubed gives you 1000?
 9 months ago

shannondidierBest ResponseYou've already chosen the best response.0
x = 5 x = 7 x = 13 x = 15 would it be x=5
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
it would! \[(5+5)^{3} = 10^{3} = \frac{1}{10^3} = \frac{1}{1000} = 0.001\]
 9 months ago

whpalmer4Best ResponseYou've already chosen the best response.2
next time, please don't make us do a warmup problem ;)
 9 months ago
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