Question

设㏒8 9=a,㏒3 5=b,试用a,b表示lg2

Answer 1

log8 9=lg9/lg8=2lg3/3lg2=a

lg3=3/2*lg2*a

log3 5=lg5/lg3=(1-lg2)/lg3=b

1-lg2=lg3*b

1-lg2=3/2*lg2*a*b

1=(1+3ab/2)*lg2

lg2=2/(2+3ab)