Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

help!?!?!?!

OpenStudy (anonymous):

\[\log _{3}27\]

OpenStudy (cwrw238):

this means 3 ^x = 27 x = value of the log

OpenStudy (anonymous):

?

OpenStudy (anonymous):

x=3?

OpenStudy (cwrw238):

3 ^ 3 = 27 right?

OpenStudy (cwrw238):

yes

OpenStudy (anonymous):

ok :)

OpenStudy (cwrw238):

the definition of a log is the exponent whci takes the base to the given number

OpenStudy (anonymous):

wait then whats \[\log _{2} 32\]

OpenStudy (cwrw238):

eg 10^2 = 100 so log (10) of 100 = 2

OpenStudy (cwrw238):

what power must 2 be taken to in order to get 32s

OpenStudy (cwrw238):

* 32?

OpenStudy (anonymous):

umm 5?

OpenStudy (cwrw238):

right

OpenStudy (cwrw238):

are you getting the idea?

OpenStudy (anonymous):

kinnda lol i think what would \[\log _{3} 18 \] bee cuz i cant get it

OpenStudy (cwrw238):

here 2 ^x = 18 where x = required log now this cant solved by inspection as the other 2 could so you preceed as follows: ln 2^x = ln 18 where ln is natural log or log to base e by laws of logs x ln 2 = ln 18 x = ln 18 / ln 2 which you can do with your calculator

OpenStudy (anonymous):

its 3 tho

OpenStudy (cwrw238):

oh - r us sure its log2 18 not log2 8?

OpenStudy (cwrw238):

because 2^3 = 8

OpenStudy (anonymous):

nope log3 18

OpenStudy (cwrw238):

log to base 3 of 18

OpenStudy (anonymous):

k

OpenStudy (cwrw238):

gotta go katie

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!