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NatalieLove
 2 years ago
Write log4 14 as a logarithm of base 3.
NatalieLove
 2 years ago
Write log4 14 as a logarithm of base 3.

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Pandae
 2 years ago
Best ResponseYou've already chosen the best response.0tell your teacher this isnt helpful in the real world

NatalieLove
 2 years ago
Best ResponseYou've already chosen the best response.0i don't have a teacher.

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.0logarithms can be helpful, depending on what you're actually doing in the real world. :)

Dockworker
 2 years ago
Best ResponseYou've already chosen the best response.4\[\frac{\log_{3}14}{\log_{3}4}\]change of base

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.0i think if you're writing it just as a logarithm of base 3, you need one logarithm... which would also explain the excess work i was so confused by in class today (I had to do the same thing). :P

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.0Dockworker has it right, but such an answer isn't very practical, since the calculator, computer, and tabulated data are all for the common or natural logs.

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.0\[ \large{ \begin{split} log_4 14 &= log_3 x\\ \frac{log 14}{log 4} &= \frac{log x}{log 3}\\ 1.9037 &= \frac{log x}{log 3}\\ 1.9037~ log 3 &= log x\\ 0.9083 &= log x\\ 10^{0.9083} &= 10^{log x}\\ 10^{0.9083} &= x\\ 8.0965 &= x\\\\\\\\log_3 8.0965 = log_4 14 \end{split} }\] this is the process I am always asked to do to 'rewrite a logarithm with a logarithm of a different base

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, it only says to rewrite using A logarithm, not a quotient of logarithms or just 'using the base 3' in which case the change of base would be sufficient...
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