Question

Log5(2x-3) > log5(x+5)

Answer 1

2x-3>x+5
2x-x>5+3
X>8 <------- ответ

Answer 2

To solve the inequality log5(2x - 3) > log5(x + 5), we need to use the properties of logarithms. In this case, we can apply the property that states:

logb(a) > logb(c) if and only if a > c

Using this property, we can rewrite the inequality as:

2x - 3 > x + 5

Now, let's solve for x:

2x - x > 5 + 3

x > 8

Therefore, the solution to the inequality log5(2x - 3) > log5(x + 5) is x > 8.