For what value of x does 4^x=(1/8)^x+5

Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

for x=-3.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)