Can someone me correct number 6 and you! explain and show your work!

You have your x and y mixed up

Step-by-step explanation:

Look at your table.  You labeled y1 and y2 where the x's are.  y2 = 8, y1 = 4, x2 = 12 and x1 = 6.  The slope then is (8-4)/(12-6) which is 4/6 or 2/3.  You did run over rise instead of rise over run.  Be careful.  I see that a lot when I teach the concept to beginners.  

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!