Question 31
$log_{10}(a^xb^{2x}c^{3x})=log_{10}2$
$x(log_{10}a+2log_{10}b+3log_{10}c)=log_{10}2$
$x(log_{10}a+log_{10}b^2+log_{10}c^3)=log_{10}2$
$xlog_{10}(ab^2c^3)=log_{10}2$
$x=\frac{log_{10}2}{log_{10}(ab^2c^3)}$
$log_{10}(a^xb^{2x}c^{3x})=log_{10}2$
$x(log_{10}a+2log_{10}b+3log_{10}c)=log_{10}2$
$x(log_{10}a+log_{10}b^2+log_{10}c^3)=log_{10}2$
$xlog_{10}(ab^2c^3)=log_{10}2$
$x=\frac{log_{10}2}{log_{10}(ab^2c^3)}$