log4(1+√5-√3)+log4(1+√5+√3)=?

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log4(1+√5-√3)+log4(1+√5+√3)=?

log4(1+√5-√3)+log4(1+√5+√3)=?
log4(1+√5-√3)+log4(1+√5+√3)=?

log4(1+√5-√3)+log4(1+√5+√3)=?
log4(1+√5-√3)+log4(1+√5+√3)
=log4[(1+√5-√3)(1+√5+√3)]
=log4[(1+√5)²-3)]
=log4(1+2√5+5-3)
=log4(2√5+3)
若√5是√2
log4(1+√2+√3)+log4(1+√2-√3)
=log4[(1+√2+√3)(1+√2-√3)]
=log4[(1+√2)²-3]
=log4[1+2√2+2-3]
=log4(2√2)
=log4[2^(3/2)]
=log4[4(3/4)]
=(3/4)log4(4)
=3/4