Question

解方程 logx(2)*log2x(4)=log8x(2)

Answer 1

左=logx(2)*[2logx(2)]^2

=4log3x(2);

右=log8x(2)

则4log3x(2)=log8x(2);

log5x(2)=4;

logx(2)=2^(2/5);

log2(x)=2^(-2/5);

x=2^[2^(-2/5)];