Question

Найти x .............

Answer 1

㏒₆x=3㏒₆2+0,5㏒₆25-2㏒₆3

㏒₆x=㏒₆2³+ ㏒₆√25- ㏒₆3²

㏒₆x=㏒₆8+ ㏒₆5- ㏒₆9

㏒₆x=㏒₆ 8*5/9

х=40/9

lgx=1/2lg5a -3lg b +4lg c

lgx=lg√5a -lg b³ +lg c⁴

lgx=lg √(5a)*c⁴/b³

x= √(5a)*c⁴/b³

Answer 2

$1)log_{6}x=3log_{6}2+0,5log_{6}25-2log_{6}3\ log_{6}x=log_{6}2^{3}+log_{6}25^{0,5}-log_{6}3^{2}\ log_{6}x=log_{6}8+log_{6}5-log_{6}9\log_{6}=log_{6}frac{8*5}{9}\ log_{6}x=log_{6}4frac{4}{9}\x=4frac{4}{9}$

$2)lgx=frac{1}{2}lg5a-3lgb+4lgc\lgx=lg(5a)^{frac{1}{2} }-lgb^{3}+lgc^{4}\lgx=lgsqrt{5a}-lgb^{3}+lgc^{4}\lgx=lgfrac{sqrt{5a}*c^{4}}{b^{3} }\x=frac{c^{4}*sqrt{5a}}{b^{3} }$