What is the remainder for the synthetic division problem below?

The remainder is 54

Step-by-step explanation:

we have to find the remainder for the synthetic division problem.

The steps are:

Step 1 : Bring the leading coefficient below.

Step 2 : Multiply the number in the division box with the number brought down and put the answer in next column.

Step 3 : Add the two numbers and write the result in the bottom of the row.

Step 4 : Repeat steps 3 and 4 until we reach to last column.

The division shown in attachment.

Option A is correct.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.