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Andrew [12]
3 years ago
11

Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assum

e all variables are positive) ​

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)

Step-by-step explanation:

\log_5(\frac{9\sqrt{x}}{y^3})

First rule I'm going to use is the quotient rule:

\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)

\log_5(9\sqrt{x})-\log_5(y^3)

Secondly, I'm going to rewrite the radical.

\sqrt{x}=x^\frac{1}{2}

\log_5(9x^\frac{1}{2})-\log_5(y^3)

Third, I'm going to use the product rule on the first term:

\log_b(mn)=\log_b(m)+\log_b(n)

\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)

Fourth, I'm going to use power rule for both of the last two terms:

\log_b(m^r)=r\log_b(m)

\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)

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Use the distributive property to produce an equivalent expression. -8(3z – 7)​ help asap
Vitek1552 [10]

Answer:

thanks for the points this'll help me on my math test!

Step-by-step explanation:

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3 years ago
A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? H
Len [333]

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

7 0
2 years ago
50 pounds to 35 pounds percentage of change
iVinArrow [24]

Answer:

30%

Step-by-step explanation:

<h2><u>Percentage change </u></h2><h3>formula :</h3>

\frac{change}{origional} * 100

= 50 - 35 = 15

= \frac{15}{50}*100\\

<h3>= 30 %</h3>
4 0
3 years ago
The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?
Rzqust [24]
In this case, the best method starts with finding one percent of the selling price.  To do this, divide the commission ($11825) by 5.5.  This gets you 1%, which is $2150.  Next, multiply this number by 100, turning 1% into 100%.  Your final answer is $215,000.
8 0
3 years ago
Write the value of the expression 3^3/3^6
scZoUnD [109]

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

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3 years ago
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