Question

㏒₅3+㏒₅9/3㏒₅2-㏒₅24= -3

Answer 1

на фото.....................

левая часть =

Answer 2

Let's calculate the expression step by step:

1. We can use the logarithmic properties to simplify the expression.

Property 1: logₐ(b) + logₐ(c) = logₐ(b * c) Property 2: logₐ(b) - logₐ(c) = logₐ(b / c)

Using these properties, the expression becomes:

㏒₅(3) + ㏒₅(9/3) - ㏒₅(2) - ㏒₅(24)

2. Simplify the logarithmic terms:

㏒₅(3) = 1 (since 5^1 = 3) ㏒₅(9/3) = ㏒₅(3) = 1 ㏒₅(2) = 0 (since 5^0 = 1) ㏒₅(24) = ㏒₅(5 * 5 * 2) = ㏒₅(5) + ㏒₅(5) + ㏒₅(2) = 1 + 1 + 0 = 2

So the expression now becomes:

1 + 1 - 0 - 2

3. Perform the arithmetic operations:

1 + 1 = 2 2 - 2 = 0

Therefore, the simplified expression is:

0

Hence, the statement "㏒₅3 + ㏒₅9/3 ㏒₅2 - ㏒₅24 = -3" is not correct. The correct result is 0.