oblicz: a) [latex]log_{2}6+log_{2}8-log_{2}3[/latex] b) [latex]log_{3}2+log_{3}27-log_{3}6[/latex] c) [latex]log_{4}10-log_{4}5+log_{4}8[/latex] d) [latex]log4-log16-log25[/latex] e) [latex]2log5+log4-log10^{4[/latex] f) [latex]3log2-log80+6log1[/latex]

a) log 2 [6] + log 2 [ 8]  - log 2 [ 3] = log 2 [ 6*8] - log 2 [3] = log 2 [48/3] = = log 2 [16 ] = 4 b) log 3 [2] + log 2 [ 27 ] - log 3 [ 6 ] = log 3 [2*27] - log 3 [ 6] = log 3 [54/6 ] = = log 3 [ 9 ] = 2 c) log 4 [10 ] - log 4 [ 5 ] + log 4 [ 8 ] = log 4 [10/5] + log 4 [ 8 ] = = log 4 [2*8] = log 4 [ 16 ] = 2 d) log 4 - log 16 - log 25 = log [ 4/16] - log 25 = log [ 1/4] - log 25 = = log [ 1/100] = -2 e) 2 log 5 + log 4 - log 10^4 = log 5^2 + log 4 - log 10000 = = log 25 + log 4 - log 10000 = log [ 25*4] - 4 = log 100 - 4 = 2 - 4 =  - 2 f) 3 log 2 - log 80 + 6 log 1 = log 2^3 - log 80 + 6*0 = = log 8 - log 80 = log[ 8/80] = log [ 1/10] = - 1