Question

5 задание ЕГЭ 2017 (база) ㏒₅ / 2 *㏒₅ 11

Answer 1

$\frac{log_5 11^6}{2*log_5 11}=\frac{6log_5 11}{2log_5 11}=3$
ответ: 3

Answer 2

To solve the equation ㏒₅(x) / 2 * ㏒₅(11), we can follow these steps:

1. Simplify the expression inside the logarithms: - ㏒₅(11) is the exponent to which 5 must be raised to obtain 11. So, ㏒₅(11) = 1. - Therefore, the expression becomes ㏒₅(x) / 2 * 1.

2. Simplify further: - Any number raised to the power of 1 is equal to the number itself. So, ㏒₅(x) / 2 * 1 = ㏒₅(x) / 2.

3. Apply the properties of logarithms: - The division of logarithms with the same base is equal to the logarithm of the quotient. So, ㏒₅(x) / 2 = ㏒₅(x/2).

Therefore, the solution to the equation ㏒₅(x) / 2 * ㏒₅(11) is ㏒₅(x/2).

Please let me know if you need any further clarification or assistance!