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Mathematics 22 Online
OpenStudy (anonymous):

log[5]72

OpenStudy (anonymous):

ok now we have a problem you want \[5^x=72\] but you do not know it because 72 is not an obvious power of 5

OpenStudy (anonymous):

do you remember how i showed you to cheat on \[\log_3(\frac{1}{9})\]?

OpenStudy (anonymous):

you do the same thing here but now it is not cheating. it is the only way to do it

OpenStudy (anonymous):

type in \[\log(72)\div \log(5)\] to get your answer

OpenStudy (anonymous):

i got 2.657

OpenStudy (anonymous):

i get 2.657 rounded and so should you

OpenStudy (anonymous):

yes that is it

OpenStudy (anonymous):

remember \[\log_b(A)=\log(A)\div \log(b)\]

OpenStudy (anonymous):

you have two logs on your calculator, \[\log\] and \[\ln\]

OpenStudy (anonymous):

you can use either one. so for example you could have typed in \[\ln(72)\div \ln(5)\] and you would still get 2.657 try it

OpenStudy (anonymous):

cool!

OpenStudy (anonymous):

yes as long as you don't mix them it will work. one more. i it is the same when you want \[3^x=50\] you type in \[\log(50)\div\log(3)\] to get x

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