An equation and the steps to solve it are shown below:

7x − one over two (8x + 4) = 6

step 1: 7x − 4x − 2 = 6
step 2: 3x − 2 = 6
step 3: 3x − 2 + 2 = 6
step 4: 3x = 6
step 5: x = 2

which step was the error made and why?

step 1, because incorrect signs have been used

step 2, because the terms have been added incorrectly

step 3, because a number has been added only to one side of the equation

no error was made

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.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: