Log3 X = 9log27 8 - 3 log3 4

Question

Log3 X = 9log27 8 - 3 log3 4

Answer 1

Учтём, что log27 8 = log3 8/log3 27 = 3log3 2 / 3= log3 2
Наш пример:
log3 x = 9log3 2 - 3log3 4
x = 2^9 : 4^3 = 2^9 :2^6 = 2^3 = 8