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E]  log ₃ 3-3 log ₃2 +  log ₃ 24= log₃ 3  -  log ₃ 2³  + log₃ 24= log₃3 - log ₃ 8  +log₃24=  log₃ ( 3/8) +log₃24=log₃  (3/8 *24)= log₃9=2 g] log15 +log2+2 log5- log (3/4)= log (15*2) + log5²  - log (3/4)= log ( 30*25) - log (3/4)= log ( 750: 3/4)= log 1000=3

[latex]e)\log_{3}3 - 3log_{3}2 +log_{3}24 = log_{3}3 - log_{3}2^{3}+log_{3}24=\\=log_{3}3 - log_{3}8+ log_{3}24 = log_{3}frac{3}{8}+log_{3}24 = log_{3}(frac{3}{4}cdot24) = \\=log_{3}9 = log_{3}3^{2} = 2[/latex] [latex]g)\log15 + log2 + 2log5 - logfrac{3}{4}=log15+log2 + log5^{2}-logfrac{3}{4}=\\=log15+log2+log25 - logfrac{3}{4}= log(15cdot2cdot25)-logfrac{3}{4}=\\=log750-logfrac{3}{4} = log(frac{750}{frac{3}{4}})=log(frac{750cdot4}{3}) = log1000 = log10^{3} = 3[/latex]