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3 years ago

Helpppppp i need to do this before 10:00 or my teacher said I will fail Ayudarr

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

I thing it is “protagonista” not sure tho

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The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

3 0

2 years ago

Read 2 more answers

Percentages

Kay [80]

People who said yes: $24-18=6$

Decimal: $\frac{6}{24} = \frac{6/6}{24/4} = \frac{1}{4} =0.25$

Percentage: $0.25*100=25$ --> 25%

7 0

3 years ago

Read 2 more answers

Wildlife biologists inspect 153 deer taken by hunters and found 42 of them carrying Lyme disease ticks. Calculate and interpret

Tamiku [17]

Answer:

90 Confidence Interval for the proportion = [ 0.216,0.334]

Step-by-step explanation:

The confidence interval for proportion formula =

p ± z × √p(1 - p)/n

Where p = x/n

x = 42

n = number of samples = 153

p = 42/153

p = 0.2745098039 ≈ 0.275

z = z score of 90% confidence interval = 1.645

Confidence interval =

0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153

= 0.275 ± 1.645 × √0.0013031046

= 0.275 ± 0.0593820985

Confidence Interval

= 0.275 - 0.0593820985

= 0.2156179015

≈ 0.216

= 0.275 + 0.0593820985

= 0.3343820985

≈ 0.334

90 Confidence Interval for the proportion = [ 0.216,0.334]

8 0

3 years ago

Which expression is equal to : look at picture, i need help

ELEN [110]

I would say 4^0 would be the best answer

6 0

3 years ago

Read 2 more answers

There are 65 children in the sixth grade. If the boys and girls are in the ratio of 8:5, what equation should be used to find th

AveGali [126]

Answer:

8x+ 5y= 65

8x+ 5x= 65

Step-by-step explanation:

we ca take same x,y

6 0

3 years ago

Helpppppp i need to do this before 10:00 or my teacher said I will fail Ayudarr​

Helpppppp i need to do this before 10:00 or my teacher said I will fail Ayudarr