Write the equation in exponential form. log 4 1/16 =-2

see explanation

Step-by-step explanation:

Using the rule of logarithms

• x = n ⇔ x =

Hence

with b = 4 and n = - 2

= - 2, then

= ← in exponential form

ANSWER

The exponential form is

EXPLANATION

The given logarithm is

We want to write the given logarithm in exponential form:

We take the antilogarithm of both sides to obtain:

We simplify the left hand side to obtain:

Hence the exponential form is

so what is the question

step-by-step explanation:

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.