Question

Log3 (4) + log3 (9/8) + log3 (2/3)

Answer 1

Пошаговое объяснение:

log3 ( 4* 9/8 * 2/3)

log3 (3/2*2)

log3(3) 3 и 3 сокращаем будет 1

Answer 2

Ответ:

Пошаговое объяснение:

Решение дано на фото.

Answer 3

To solve this expression, we can apply the logarithmic properties. Specifically, we can use the property:

logₓ(a) + logₓ(b) = logₓ(a * b)

Using this property, we can simplify the given expression:

log₃(4) + log₃(9/8) + log₃(2/3) = log₃(4 * (9/8) * (2/3))

Now, let's simplify the expression inside the logarithm:

4 * (9/8) * (2/3) = (36/8) * (2/3) = (36 * 2) / (8 * 3) = 72/24 = 3

Therefore, the given expression simplifies to:

log₃(4) + log₃(9/8) + log₃(2/3) = log₃(3)