Question

Log4(3x−2)=4.85 The 4 is a base. How do I solve this?

Answer 1

Answer:

x=1.070833

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x−2) = 4.85

(4) (3x) + (4) (−2) = 4.85 (Distribute)

12x + − 8 = 4.85

12x − 8 = 4.85

Step 2: Add 8 to both sides.

12x − 8 + 8= 4.85 + 8

12x=12.85

Step 3: Divide both sides by 12.

12x/12

=

12.85/12

x = 1.070833

Answer 2

Answer:

x = 277.915...

Step-by-step explanation:

$4^{4.85} = 3x -2 \\831.746... = 3x - 2\\x = 277.915...$