Question

Log_4 (5-x)= log_4 8

Answer 1

Ответ:

Объяснение:

ОДЗ: x<5

5-x=8

x= -3

Answer 2

To solve the equation Log_4(5-x) = Log_4(8), we'll use the properties of logarithms, particularly the fact that if two logarithms with the same base are equal, then their arguments must be equal. In this case, both logarithms have a base of 4, so we can set their arguments equal to each other:

5 - x = 8

Now, let's solve for x:

1. Subtract 5 from both sides of the equation:

• x = 8 - 5
• x = 3

So, the solution for the equation Log_4(5-x) = Log_4(8) is x = 3.