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Mathematics 22 Online
OpenStudy (anonymous):

If b^p=N, then which of the following statements is also true?

OpenStudy (anonymous):

hartnn (hartnn):

use the definition of logarithms that \(\Large x^y=z \implies y\log x=z \)

hartnn (hartnn):

basically you just take log on both sides.

hartnn (hartnn):

so what do you get when you take log on both sides of b^p=N ??

OpenStudy (anonymous):

is it either a or c?

hartnn (hartnn):

yes, its one among them

OpenStudy (anonymous):

ok. but how do you find out which one. im stuck with that part

hartnn (hartnn):

ok, so did you take log on both sides ? did you arrive at any step ?

OpenStudy (anonymous):

so it would be p log b = N correct?

hartnn (hartnn):

it will be p log b = log N, right ?

OpenStudy (anonymous):

yes

hartnn (hartnn):

now use the property that log a / log b = \(\log_ba\)

hartnn (hartnn):

so, p = log N/log b

hartnn (hartnn):

use that property now..

OpenStudy (anonymous):

im so confused

hartnn (hartnn):

using that property p = log N/log b ----> p = \(\log_bN \)

hartnn (hartnn):

so which choice ?

OpenStudy (anonymous):

a

hartnn (hartnn):

yup!

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