Question

以1/2为底,根号2的对数是多少

Answer 1

把以1/2为底根号2的对数,记作：log[1/2](√2).
log[1/2](√2)
=[lg(√2)]/[lg(1/2)]
=(1/2)lg(2)/(lg1-lg2)
=[(lg2)/2]/(0-lg2)
=-(lg2)/(2lg2)
=-1/2