1/2x-3 =ln(2x-3)/2

Question

Explain why

Answer 1

this equation is true.

To show that the equation is true, we need to show that both sides are equal. To do this, we can start by simplifying each side of the equation.

Starting with the left side:
1/2x - 3

Next, let's simplify the right side:
ln(2x-3)/2

Now, we know that ln(a) / b is equal to ln(a^(1/b)), so we can rewrite the right side as:
ln((2x-3)^(1/2))

Now, taking the square root of (2x-3):
ln(sqrt(2x-3))

Now, simplifying both sides again:
1/2x - 3 = ln(sqrt(2x-3))

Since the square root of (2x-3) is the same as raising (2x-3) to the power of 1/2, the equation is true.