Hi I need help simplifing these problems.
1. 2ln$\displaystyle sqrt(e)$
= $\displaystyle sqrt(3)^2$
= 3
2$\displaystyle ^Logx$ = 2^log4 x
= 4$\displaystyle ^3x$
3. tan$\displaystyle ^-1$(1/$\displaystyle sqrt(3)$
= pi/3
are these right?
Hi I need help simplifing these problems.
1. 2ln$\displaystyle sqrt(e)$
= $\displaystyle sqrt(3)^2$
= 3
2$\displaystyle ^Logx$ = 2^log4 x
= 4$\displaystyle ^3x$
3. tan$\displaystyle ^-1$(1/$\displaystyle sqrt(3)$
= pi/3
are these right?
I presume "Log" is $\displaystyle log_{10}$?
Use the change of base formula:
$\displaystyle log_{10}(x) = \frac{log_2(x)}{log_2(10)}$
So
$\displaystyle 2^{log_{10}(x)} = 2^{\frac{log_2(x)}{log_2(10)}}$
$\displaystyle = \left ( 2^{log_2(x)} \right )^{1/
log_2(10)}$
$\displaystyle = x^{1/log_2(10)} \approx x^{0.30103}$
-Dan