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coolaidd
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solve. then round answer to the nearest hundredth. 6^x3=52
 2 years ago
 2 years ago
coolaidd Group Title
solve. then round answer to the nearest hundredth. 6^x3=52
 2 years ago
 2 years ago

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coolaidd Group TitleBest ResponseYou've already chosen the best response.0
dw:1342135467157:dw
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
\[6^{x3} = 52\]You will need to use logarithms to solve this one
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
Specifically, you will need to use the property of logarithms such that will allow you to work with the exponent: So, if you have \[x^y\], if you take the log of this you obtain: \[log_a(x^y) = y * log_a(x)\]The exponent now becomes a factor in the product
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
For your equation, you will want to take the logarithm of both sides, then you can solve for x. You can use any base for the logarithm: \[log_a\] I'm sure you're familiar with the concept of logarithms, but here is nice way to remember what it does: you can say that when you have the expression: \[log_ab = x\]You are looking for the number you raise 'a' to in order to obtain 'b' is 'x'. \[a^x = b\] \[log_28=3\]The number you raise 2 to in order to obtain the value 8, is 3. \[2^3 = 8\]
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
Does this seem familiar or helpful?
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
OK, cool, I see that you had a similar question  http://openstudy.com/users/coolaidd#/updates/4fff44afe4b09082c0707aad
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
Do you think you can solve this problem?
 2 years ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
log_5 x=3 x = 5^3 = 125
 2 years ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
6^(x  3) = 52 (x  3) ln 6 = ln 52 x  3 = ln 52/ln 6 x = 3 + ln 52/ln 6 ≈ 5.20523
 2 years ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
thanks! :)
 2 years ago

dpflan Group TitleBest ResponseYou've already chosen the best response.2
Sure, good luck with the rest of your studies! Maybe you can help with some questions even ;)
 2 years ago
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