Задание

Найдите значение х.

\(\Large{lgx=lg(7^{\frac1{2log_37}}\cdot7^{log^2_78}-\sqrt3\cdot8^{log_78}+(\sqrt7)^{log_79})}\)

\(\Large{lgx=lg(36^{log_65}+10^{2-lg4}+4^{log_4{49}})}\)

\(\Large{log_5x=2log_53+log_{25}2}\)

\(\Large{lgx=lg(\frac{log^2_218-4log^2_33+3log_2{18}+6log_23}{log_2{18}+2log_23})}\)

\(\Large{lgx=3lg2+\frac12lg64-\frac13lg8}\)

\(\Large{lgx=lg((log_32+log_2{81}+4)(log_32-2log_{18}2)log_23-log_32)}\)

\(\Large{lgx=lg(\frac{lg^25-2lg5\cdot2-3lg^22}{2lg5-6lg2})}\)

\(x=36\)

\(x=3\)

\(x=4\)

\(x=32\)

\(x=99\)

\(x=2\)

\(x=0,5\)