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3 years ago

Simplify into one logarithm 2 log x + 3 log y

1 answer:

const2013 [10]3 years ago

8 0

If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:

log(x^2)+log(y^3)

If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:

log(x^2 * y^3)

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Eileen is taking a trip to Louisiana and expects to drive 850 miles round trip. If her car gets 23 miles per gallon, and the cos

bazaltina [42]

The answer is $103.

To determine how much Eileen will spend on gasoline, first we need to calculate how many gallons she needs.
If she drives 850 miles and her car gets 23 miles per gallon, we can use the proportion:
850 miles : x gallons = 23 miles : 1 gallon
Crossing the products:
x = 850 miles × 1 gallon ÷ 23 miles
x = 36.96 gallons

Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
36.96 gallons : x = 1 gallon : $2.79
x = 36.96 gallons × $2.79 ÷ 1 gallon
x = $103.12
x ≈ $103

4 0

4 years ago

Please answer #1 for me only ! What is my Y for #1 , don't forget to graph !

mart [117]

The table and the graph is shown in the following picture

7 0

3 years ago

PLEASE ANSWER QUICKLY! WILL GIVE REWARD!!

Sonja [21]

Answer:

None of the above. 16 3/2 simplified is

Mixed number: 17 1/2

Improper fraction: 35/2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can i have some help

SVETLANKA909090 [29]

Answer:

b. m = 2, b = 4

Step-by-step explanation:

y = mx + b

m = slope and b = y-intercept

The slope is 2 cause it's going up 2 squares while only going to the right one square each time, so u could right 2/1 but it's not necessary so just 2. And the intercept is 4 because that's where the line intercepts the y-axis.

8 0

3 years ago

Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank

qwelly [4]

Answer:

a. Take a grid that shows represents the amount of money Frank has,

Say F,

( shown below ),

b. Since, Marissa has twice as much money as Frank,

So, the amount Marissa has = 2F

If M represents the amount Marissa has,

M = 2F

c. Now, Christina has $20 more than Marissa,

Add 20 to the grid M

d. The below diagram provides enough information to determine the value of the variable m

e. The amount Christina has = M + 20 = 2F + 20

According to the question,

2F + 20 = 100

2F = 80

F = 40

Hence, the amount frank has = $ 40,

Amount Marissa has = 2(40) = $ 80,

3 0

3 years ago