c log a 1/3 . b log c 1/4 . a log b 1/2 : 2 log 32 - 2 log 4

[tex] \frac{^{a} log(b \frac{1}{2} ) \times^{b} log(c \frac{1}{4} ) \times ^{c} log(a \frac{1}{3} )}{ ^{2} log(32) - ^{2} log(4) } \\ = \frac{^{a} log(a) \frac{1}{2} \frac{1}{3} \frac{1}{4}}{ ^{2} log( {2}^{5} ) - ^{2} log( {2}^{2} ) } \\ = \frac{1}{24} \times \frac{1}{5 - 2} \\ = \frac{1}{72} [/tex]