Explain how to solve 5x − 2 = 8 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. round your answer to the nearest thousandth.

Answer with explanation:

The given equation in one variable ,x is

 ⇒5 x-2 =8

Adding ,2 on both sides

⇒5 x-2 +2=8+2

⇒5 x=10

Dividing , by 5 on both sides

⇒x=2

Properties of Logarithms

Instead of dividing by 5, on both sides, taking Log on both sides

⇒Log(5 x)= Log (10)

In each and every term containing log, base 10 is considered.

Rounding the answer to the nearest thousandth gives, x= 1.999.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x