Use a compass and straightedge to construct an equilateral triangle using the length (ab) ̅ for the sides.

For a better understanding of the solution provided here please go through the diagram in the file attached.

Let us begin the construction of the triangle in a step by step fashion.

Step 1 Take AB as the base.

Step 2 Take the point of the compass and place it on A and take the width of the compass to be AB.

Step 3 Make an arc (as shown in green for convenience).

Step 4 Now, take the point of the compass and place it on B keeping the width of the compass to be AB.

Step 5 Make an arc (as shown in yellow for convenience) such that it intersects the arc made in Step 3 at the point C.

Step 6 Join the points A and C, and B and C.

The made triangle is the required equilateral triangle, . All the sides will be equal to the length AB.

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!