Question

lgx=1/3lga+2lgb-3lga

Answer 1

$lgx=frac{1}{3}lga+2lgb-3lga\lgx=lga^{frac{1}{3}} +lgb^{2}-lga^{3}\lgx=lgfrac{a^frac{1}{3}*b^{2}}{a^{3}}\lgx=lgfrac{b^{2}} {a^{2frac{2}{3}} }\lgx=lgfrac{b^{2}} {sqrt[3]{a^{8}} }\lgx=frac{b^{2}} {a^{2}sqrt[3]{a^{2}} } \x=frac{b^{2}} {a^{2}sqrt[3]{a^{2}} }$