Aline parallel to a triangle's side splits ab into lengths of x + 2 and x + 5. the other side, ac, is split into lengths of x and x + 1. what is the length of ac?
a) 1
b) 3
c) 5
d) 7

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!

part a: 1.08

part b: 27.59