Am I doing this problem right? 6^((log_36)^4)=16

- anonymous

Am I doing this problem right? 6^((log_36)^4)=16

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- anonymous

6^((log_36)^4)=6 ^ ( log

- anonymous

what base log is that?

- anonymous

6^((log_36)^4)=6 ^ ( (log 6^2 )^4 = 2^4 = 16

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## More answers

- anonymous

Thats what I did, but when I put it into my hmwk (online) then it was wrong...?

- anonymous

one sec

- anonymous

6^((log_36)^4) = 6 ^ [ (log_6 6^2) ^4 ] = 6 ^ [ 2^4] = 6^16

- anonymous

Oh, so I cancelled too many 6's?

- anonymous

dunno, did my solution make sense?

- anonymous

2 821 109 907 456

- 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.

- anonymous

but thats the right answer, correct ?

- anonymous

6^16=2.821109907e^12 , not sure gonna try

- anonymous

not right

- anonymous

no dont approximate

- anonymous

2 821 109 907 456

- anonymous

why no decimal

- anonymous

theres no need for it

- dumbcow

what base is the log?

- anonymous

went to the end, and it showed me the answer is 2

- anonymous

yeah, you probably should give us the whole question

- anonymous

I did

- anonymous

it says to simplify that equation i gave

- dumbcow

what base is the log?

- anonymous

I'm confused about that to, i think its 6

- anonymous

\[6^{\log _{36^{4}}} = .....
.\log _{6^{x}}=\log6^{2\times4}......x=8..........6^{8}\]
?

- anonymous

no, I dont think the 4 is a power of 36

- anonymous

at the bottom eqution can u try rewrite

- 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 :)

- anonymous

\[6^{\log _{36}4}\]

- 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

- anonymous

I didn't understand that other answer, but it went away before i could finish looking. I understand yours a little better.

- anonymous

\[36=6^{2}\]\[36^{x}=4\]\[6^{2(x)}=4\]\[2x=4\]\[x=\frac{4}{2}\]\[x=2\]

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