Solving the Exponential Equations to Find the Minimum Value

Figure out the minimum value of c by solving 2 exponential functions: 2 to the a + 4 to the b = 2 to the c, and 4 to the a + 2 to the b = 4 to the c.

We will use substitution to figure out the minimum value of c.

Set x = 2 to the a , y = 2 to the b, z= 2 to the c.

And substitute x, y and z in the exponential functions, we will get 2 functions with respect to x , y and z.

X and x squared can be solved, and then we will use the AM GM Inequality to find out the minimum value of z, so that the minimum value of c can be found as well.
@SyberMath @PreMath
See more details in the video, and subscribe this channel to find more interesting math problem videos.