Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1.

Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4.

Part C: How can you solve the equation 4x = 2x−1 graphically?

answer is 67%

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: