Solve the equation by using the basic properties of logarithms. log(2x)=3

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2