Solve for http://webwork.rutgers.edu/webwork2_...dd0b8b8e91.png:

Is what I'm doing against rules of math:

3^3 = log base 3 x

27 = log base 3 x

27= 3^x

log 27 = x log 3

x = log 27/ log 3? x=3

I think that's wrong.

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- Sep 28th 2011, 07:01 PMhabibixoxLogs
Solve for http://webwork.rutgers.edu/webwork2_...dd0b8b8e91.png:

Is what I'm doing against rules of math:

3^3 = log base 3 x

27 = log base 3 x

27= 3^x

log 27 = x log 3

x = log 27/ log 3? x=3

I think that's wrong. - Sep 28th 2011, 07:21 PMAmerRe: Logs
$\displaystyle \log_3 (\log_3 x) = 3 $

$\displaystyle \log_3 x = 3^3 $

$\displaystyle x = (3^3)^3 $ - Sep 28th 2011, 10:22 PMProve ItRe: Logs
- Sep 29th 2011, 08:01 AMHallsofIvyRe: Logs
An important distinction! $\displaystyle (3^3)^3= 9^3= 729$. $\displaystyle 3^{3^3}= 3^{27}= 7625597484987$!

- Sep 29th 2011, 08:48 AMQuackyRe: Logs
- Sep 29th 2011, 09:59 AMDevenoRe: Logs
$\displaystyle (3^3)^3 = 3^9 = 19,683$