Logarytmy: a)log2 16 b)log3 jedna dziewiąta c)log2 pierwiastek z 8 d)log7 14- log7 2 pierwiastek z 7 e)log2 6+log2 12+log2 cztery dziewiąte

a) 4 b) -2 c) 3/2 d) 1/2 e) 5

a) log2 16 = x 2^x = 16 2^x = 2^4 x = 4 log2 16 = 4 ========== b) log3 (1/9) = x 3 ^x = 1/9 3^x = 3^-2 x = -2 log3 (1/9) = -2 ============= c) log2 V8 = x 2^x = V8 2^x = 2^(3/2) x = 3/2 log2 8 = 3/2 =========== d) log7 14 - log7 2 = log7 (14:2) = log7 7 = 1  7^x = 7^1 x = 1 log7 7 = 1 ========= e) log2 6 + log2 12 + log2 (4/9) = log2 (6 * 12 * 4/9) = log2 32 = 5 log2 32 = x 2^x = 32 2x = 2^5 x = 5 log2 32 = 5 ==========