a) log₇ 4=a i log₇ 3=b oblicz log₇ 36 log₇ 36=log₇ (4*3*3)=log₇ 4+ log₇ 3+ log₇ 3=a+b+b=a+2b b) log₄ 3=a i log₄ 5=b oblicz log₄ 1,8 log₄ 1,8=log₄ (3*3:5)=log₄ 3+ log₄ 3- log₄ 5=a+a-b=2a-b c) log₅ 4=a i log₅ 27=b oblicz log₅ 6 a=log₅ 4=log₅ 2²=2log₅ 2 log₅ 2=½*a b=log₅ 27=log₅ 3³=3log₅ 3 log₅ 3=⅓*b log₅ 6=log₅ (2*3)=log₅ 2 +log₅ 3=½*a + ⅓*b d) log₃ 2=a i log₃ 7=b oblicz log₃ 14 log₃ 14=log₃ (2*7)=log₃ 2 +log₃ 7=a+b
a)log₇ 4=a i log₇ 3=b oblicz log₇ 36 log₇ 36=log₇ (4*3*3)= =log₇ 4+ log₇ 3+ log₇ 3= =a+b+b= =a+2b b)log₄ 3=a i log₄ 5=b oblicz log₄ 1,8 log₄ 1,8=log₄ (9/5)=log₄ (3*3:5)= =log₄ 3+ log₄ 3- log₄ 5 =a+a-b= =2a-b c)log₅ 4=a i log₅ 27=b oblicz log₅ 6 log₅ 6=log₅ (2*3) a=log₅ 4=log₅ 2² a=2log₅ 2 ½*a=log₅ 2 b=log₅ 27=log₅ 3³ b=3log₅ 3 ⅓*b=log₅ 3 log₅ 6=log₅ (2*3)=log₅ 2 +log₅ 3=½*a + ⅓*b d)log₃ 2=a i log₃ 7=b oblicz log₃ 14 log₃ 14=log₃ (2*7)= =log₃ 2 +log₃ 7= =a+b
