Question

Log2 (9) - log2 (5) + log2 (40/9)

Answer 1

Ответ:

Пошаговое объяснение:

Всё решаем по формулам.

Answer 2

To solve the expression log2(9) - log2(5) + log2(40/9), we can use logarithmic properties to simplify it.

First, let's apply the subtraction property of logarithms: log2(9) - log2(5) = log2(9/5)

Now, let's apply the addition property of logarithms: log2(9/5) + log2(40/9)

To simplify further, we can use the product property of logarithms: log2((9/5) * (40/9))

Now, simplify the expression inside the logarithm: log2(360/45)

Further simplifying: log2(8)

The logarithm base 2 of 8 is equal to 3: log2(8) = 3

Therefore, log2(9) - log2(5) + log2(40/9) simplifies to 3.