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Nostrana [21]
3 years ago
14

1) How can the properties of exponents help solve logarithmic equations?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
The properties of exponents help solve logarithmic and exponential equations by:
a. Multiplication inside the log can be turned into addition outside the log, and vice versa.
b. Division inside the log can be turned into subtraction outside the log, and vice versa.
c. An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.
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A function g is described below:
mamaluj [8]

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP!!!!!!!!!!!!1
skelet666 [1.2K]
A. Let x = cheese and
y = chocolate
2x + y = 25
x + y = 20

B. Subtract the second equation from the first.
2x + y = 25
-(x + y = 20)
-—————
x = 5

Plug 5 back in to the second equation and solve for y.
x + y = 20
5 + y = 20
Subtract 5 from both sides.
y = 15
5 cheese and 15 chocolate

Used elimination method because coefficients on the y values were both 1 so it was easy to subtract the equations and eliminate the y variable.


5 0
3 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
2 years ago
Can inverse operations that undo Another operation
ohaa [14]

Answer:

yes they can

Step-by-step explanation:

5 0
3 years ago
5x^2-44x+130=-30+16x
sweet [91]

Answer:

if its answer for x its

Step-by-step explanation:

=4

=8

7 0
2 years ago
Read 2 more answers
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