Cevap:
2 ^ {x} = 272x=27
9 ^ {y} = 169y=16
x = log _ {2} 27x=log227
y = log _ {9} 16y=log916
x*y= y = log _ {2} 27* log _ {9} 16x∗y=y=log227∗log916
log _ {2} 27* log _ {9} 16=log _ {2} 3^{3}*log _ {9} 2^4log227∗log916=log233∗log924
log _ {2}3^{3}*log _ {9}2^4=3*log _ {2} 3*4log _ {9}2log233∗log924=3∗log23∗4log92
3.log _ {2} 3*4log _ {9} 23.log23∗4log92
log _ {9} 2= log _ { 3^{2} } 2^{1} = \frac{1}{2}*log _ {3} 2log92=log3221=21∗log32
log _ {2}3 *log _ {3} 2=1log23∗log32=1
=3.*4*\frac{1}{2}(log _ {2} 3*log _ {3} 2)=3.∗4∗21(log23∗log32)
=3.*4*\frac{1}{2}=3.∗4∗21
6
