Find the numerical value of the log expression HELP PLS

The value of is 19.

A log function is a way to find how much a number must be raised in order to get the desired number.

can be written as

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.  

log a = 3,

log b = 4,

log c = -1,

log a = 3

lob b = 4,

log c = -1,

Hence, the value of is 19.

19

Step-by-step explanation:

Given:

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

Step 1: Apply log of quotients => i.e.

Step 2: Apply log of products. i.e. log ab = log a + log b.

Step 3: Apply log of exponents. i.e. .

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

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109 trust me

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.