Here we will use exponential form, which is

Initial value, y0 = 500
Double of 500 = 1000



Required equation is

I hope my answer can help you.
The logarithm of a product is equal to the sum of logarithms:

Drop the exponents:

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:

If x= -1
so.
2(-1)^2-5 / (-1 +9)
=-3/8
=-0.375
the equations
1/4=2x and 1/4/x=2have the same solution
because 1 / 4/ x = 2 can be simplified to
1 / 4 = 2x which is the same with the first equation
Solve for x = 1/8
Then substitute it to the both equation
¼ = 2 ( ¼)
¼ = ¼
2nd equation
1/ 4 /( 1/8) = 2
2 =2
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