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2 years ago

Can someone check to see if I'm correct?

Mathematics

1 answer:

Jobisdone [24]2 years ago

4 0

Answer:

yes you are

Step-by-step explanation:

the transformations are alright

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Condense the following logs into a single log:

mamaluj [8]

QUESTION 1

The given logarithm is

$8\log_g(x)+5\log_g(y)$

We apply the power rule of logarithms; $n\log_a(m)=\log_(m^n)$

$=\log_g(x^8)+\log_g(y^5)$

We now apply the product rule of logarithm;

$\log_a(m)+\log_a(n)=\log_a(mn)$

$=\log_g(x^8y^5)$

QUESTION 2

The given logarithm is

$8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)$

We apply the power rule of logarithm to get;

$=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)$

We apply the product to obtain;

$=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)$

We apply the quotient rule; $\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )$

$=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})$

$=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})$

7 0

2 years ago

PLEASE HELP ME FIND YHE SLOPE <br><br> 20 POINTS HELP ME PLWASW

NeX [460]

C if im wrong I’m sorry

3 0

2 years ago

Read 2 more answers

8 is 40% of what number? Please show your work

KengaRu [80]

Do a proportion
40/100= 8/x
8 x 100= 800
Cross multiply and divide
800 divided by 40= 20
So answer is 20

5 0

3 years ago

Read 2 more answers

Rachel jogged along a trail that was 1/4 (fraction) of a mile long. She jogged along the trail 8 times. How many miles did Rache

OverLord2011 [107]

1/4+1/4+1/4+1/4+1/4+1/4+<span>1/4+1/4 = 8 Miles

1/4+1/4 = 1/2 Mile

1/2+1/2 = 1 Mile

1+1 = 2 Miles</span>

5 0

3 years ago

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If Victoria earns $216.30 for working $6 hours in a day, how much does she earn per hour?

geniusboy [140]

Answer:

$36.05

Step-by-step explanation:

Do 216.30 then divide that by 6. With that you get 36.05; the amount she makes per hour.

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2 years ago