Log7 x=2log7 3+ log7 6- 1/2 log7 9

Question

Log7 x=2log7 3+ log7 6- 1/2 log7 9

Answer 1

Решение
Log7 x=2log7 3+ log7 6- 1/2 log7 9
ОДЗ: x > 0, x ∈ (0; + ∞)
log₇ x = log₇ (3)² + log₇ 6 - log₇ (9)¹/²
log₇ x = log₇ (9*6)  - log₇ 3
log₇ x = log₇ 54  - log₇ 3
log₇ x = log₇ (54/3)
log₇ x = log₇ 18
x = 18