log6 p=log12 q=log16 (p+q) 求 q/p
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log6 p=log12 q=log16 (p+q) 求 q/p
![log6 p=log12 q=log16 (p+q) 求 q/p](/uploads/image/z/18787395-3-5.jpg?t=log6+p%3Dlog12+q%3Dlog16+%28p%2Bq%29+%E6%B1%82+q%2Fp)
log m X=y
X=m^y
log12 q=log 6 p
q=12^(log6 p)
log6 p=log16 (p+q)
p= 6^(log16(p+q))
q/p= 12^(log6 p) /6^(log16(p+q))
=12^(log16 (p+q))/ 6^(log16(p+q))
=(2*6)^(log16(p+q))/6^(log16(p+q))
=2^(log16(p+q))
__________又或?
log12 q=log 6 p
q=12^(log6 p)
log6 q= log6 (12^(log6 p))
=(log6p) *log6 12
log6 q -log6 p=(log6p) *log6 12 -log6 p
log6 (q/p) =(log6 p)( (log6 12 ) -1)
q/p =6^( log6 p) ( (log6 12 ) -1)
=6^( log6 p) ( (log6 2*6 ) -1)
=6^( log6 p) ( (log6 2+log6 6 ) -1)
=6^( log6 p) ( (log6 2)+1 -1)
=6^( log6 p) ( log6 2)
=p^(log6 2)
X=m^y
log12 q=log 6 p
q=12^(log6 p)
log6 p=log16 (p+q)
p= 6^(log16(p+q))
q/p= 12^(log6 p) /6^(log16(p+q))
=12^(log16 (p+q))/ 6^(log16(p+q))
=(2*6)^(log16(p+q))/6^(log16(p+q))
=2^(log16(p+q))
__________又或?
log12 q=log 6 p
q=12^(log6 p)
log6 q= log6 (12^(log6 p))
=(log6p) *log6 12
log6 q -log6 p=(log6p) *log6 12 -log6 p
log6 (q/p) =(log6 p)( (log6 12 ) -1)
q/p =6^( log6 p) ( (log6 12 ) -1)
=6^( log6 p) ( (log6 2*6 ) -1)
=6^( log6 p) ( (log6 2+log6 6 ) -1)
=6^( log6 p) ( (log6 2)+1 -1)
=6^( log6 p) ( log6 2)
=p^(log6 2)
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