log.以根号2-1为底数,真数为1除以根号下3+2倍的根号2,求值

问题描述:

log.以根号2-1为底数,真数为1除以根号下3+2倍的根号2,求值

log√2-1(1/√3+2√2)
=log√2-1(1/1+√2)
=log√2-1(√2-1)
=1

3+2√2=2+2√2+1=(√2+1)^2
∴㏒(√2-1)(3+2√2)=㏒(√2-1)(√2+1)^2
=2㏒(√2-1)(√2+1)
=-2