Mathematics
17 Online
OpenStudy (anonymous):
Am I doing this problem right? 6^((log_36)^4)=16
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
6^((log_36)^4)=6 ^ ( log
OpenStudy (anonymous):
what base log is that?
OpenStudy (anonymous):
6^((log_36)^4)=6 ^ ( (log 6^2 )^4 = 2^4 = 16
OpenStudy (anonymous):
Thats what I did, but when I put it into my hmwk (online) then it was wrong...?
OpenStudy (anonymous):
one sec
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
6^((log_36)^4) = 6 ^ [ (log_6 6^2) ^4 ] = 6 ^ [ 2^4] = 6^16
OpenStudy (anonymous):
Oh, so I cancelled too many 6's?
OpenStudy (anonymous):
dunno, did my solution make sense?
OpenStudy (anonymous):
2 821 109 907 456
OpenStudy (anonymous):
um, it did but I'm confused still.
It doesn't match very well with what I'm getting, well it is but it's not pretty.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
but thats the right answer, correct ?
OpenStudy (anonymous):
6^16=2.821109907e^12 , not sure gonna try
OpenStudy (anonymous):
not right
OpenStudy (anonymous):
no dont approximate
OpenStudy (anonymous):
2 821 109 907 456
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
why no decimal
OpenStudy (anonymous):
theres no need for it
OpenStudy (dumbcow):
what base is the log?
OpenStudy (anonymous):
went to the end, and it showed me the answer is 2
OpenStudy (anonymous):
yeah, you probably should give us the whole question
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
I did
OpenStudy (anonymous):
it says to simplify that equation i gave
OpenStudy (dumbcow):
what base is the log?
OpenStudy (anonymous):
I'm confused about that to, i think its 6
OpenStudy (anonymous):
\[6^{\log _{36^{4}}} = .....
.\log _{6^{x}}=\log6^{2\times4}......x=8..........6^{8}\]
?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
no, I dont think the 4 is a power of 36
OpenStudy (anonymous):
at the bottom eqution can u try rewrite
OpenStudy (anonymous):
It's ok, I moved on from that question so you dont need to waste your brain power on this question. Thanks for trying :)
OpenStudy (anonymous):
\[6^{\log _{36}4}\]
OpenStudy (dumbcow):
ahh base is 36 and 4 is not an exponent
x = log base 36 (4) => 36^x = 4 => 6^2x = 4
thus x = log base 6 (4) /2
6^x = sqrt(4) = 2
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
I didn't understand that other answer, but it went away before i could finish looking. I understand yours a little better.
OpenStudy (anonymous):
\[36=6^{2}\]\[36^{x}=4\]\[6^{2(x)}=4\]\[2x=4\]\[x=\frac{4}{2}\]\[x=2\]