What is the exact solution to the equation 2^(3x−2)=5^x ?

2ln2/3ln2−ln5

2ln2/3ln2+ln5

3ln2−ln5/2ln2

3ln2+ln5/2ln2

what shape is

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6