Hello, I do not anderstand this at all. I have been working on radicals and stuff, but this goes way above my head. Please help. Thank you so much! 100 points!

Solve for the following equation step by step and justify your steps when using an exponential property.

x =

Step-by-step explanation:

We can start simplifying this equation by expanding the parenthesis and cross multiplying.

The exponent 5 and 7x are equal:

Divide both sides by 7

-Chetan K

Step-by-step explanation:

Use identities:

Solve as below:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.