If 1/3 of a gallon of paint covers 2/3 of a wall how many gallons of paint or needed to cover the entire wall

For this case we propose a rule of three:

gallon ------------> wall

x -------------------------------------> 1 wall

Where the variable "x" represents the amount of gallons of paint needed to cover the entire wall.

Thus,of gallon of paint covers the entire wall.

gallon of paint covers the entire wall.

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!