Y=2x+12 and y=-x-9 in graph form.

. Write each number in terms of natural logarithms, and then use the properties of logarithms to show that it is a

siniylev [52]

Answer:

The answer is 3/4

Step-by-step explanation:

Hi, we need to change the base of the logarithm, for that we need to use the following formula.

$Log_{b} (a)=\frac{Ln(a)}{Ln(b)}$

In our case, this is:

$Log_{9} (\sqrt{27} )=\frac{Ln(\sqrt{27} )}{Ln(9)}$

Which is the same as:

$\frac{Ln(27)^{\frac{1}{2} }}{Ln(9)}$

Now, let´s solve this using the log properties

$\frac{1}{2} (\frac{Ln(27)}{Ln(9)} )$

$\frac{1}{2} (\frac{Ln(9*3)}{Ln(9)} )$

$\frac{1}{2} (\frac{Ln(9)+Ln(3)}{Ln(9)} )$

$\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(3)}{Ln(9)} )\\$

We can change 3 for 9^(1/2)

$\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9^{\frac{1}{2} } )}{Ln(9)} )\\$

$\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9 )}{2*Ln(9)} )\\$

Since Ln(9) / Ln(9) =1, we get.

$\frac{1}{2} (1+\frac{1}{2} )$

$\frac{1}{2} (\frac{3}{2} )=\frac{3}{4}$

Best of luck.

4 0

2 years ago

Help please!!!!!!!!!

Dominik [7]

Number two:two thirds equals eight twelfths

Number six:ten fifthteenths or two thirds

7 0

2 years ago

NEED HELP ASAP!!!!!!!!

Zolol [24]

Answer:

x = 2.4

y = 31

Step-by-step explanation:

Angle B = 25x

BC = 31

therefore , this is an equilateral triangle all sides and angles are equal,

25x =60

x = 2.4

BC = BA = AC

y= 31

5 0

2 years ago

Select ALL the correct answers.

SCORPION-xisa [38]

Expression A decays at a rate of 5% every three months, while Expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

<h3>What is an Expression ?</h3>

It is a mathematical statement tat consists of variables , constants and mathematical operators.

It is given that

The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.

The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.

$\rm Expression\; A = 624(0.95)^{4t}\\\\Expression \; B = 725(1.12)^{3t}$

From observing both the expression the initial value is when t = 0

when t = 0,

A = 624

B = 725

and so Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

To know more about Expression

brainly.com/question/14083225

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