log_4x=log_{\sqrt2}3
log_4x=\frac{log_43}{log_4\sqrt2}
log_4x=\frac{log_43}{log_42^{\frac{1}{2}}}
log_4x=\frac{log_43}{\frac{1}{2}log_{2^2}2}
log_4x=\frac{log_43}{\frac{1}{2} * \frac{1}{2}log_42}
log_4x=\frac{log_43}{\frac{1}{4}log_22}
log_4x=\frac{log_43}{\frac{1}{4} * 1}
log_4x=4log_43
log_4x=log_4 3^4
x=3^4=81 odp.