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3 years ago

Explain the process and the properties you have to use to solve the logarithmic equation: log(3)x + log(3)4 - 2 log(3)3 = 2

Mathematics

1 answer:

Akimi4 [234]3 years ago

6 0

81/4

Step-by-step explanation:

$log_{3}( \frac{4x}{{3}^{2} } ) = 2$

${3}^{2} = \frac{4x}{ {3 }^{2} }$

9=4x/9

81=4×

x=81/4

adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power

base of log is raised to power of element after =

element in log is then equal to log base raised to power

solve resulting equation

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Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises.

horsena [70]

<h3>Answer: 5</h3>

Work Shown:

g = number of hours that Gary exercises

3g-2 = number of hours that Jessica exercises

(g) + (3g-2) = 18

4g-2 = 18

4g = 18+2

4g = 20

g = 20/4

g = 5

Gary exercises 5 hours per week.

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1 year ago

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How

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3 years ago

Read 2 more answers

Can someone pls help me with this question

jeyben [28]

Answer:

I'll find X for you; the next step is by you.

Step-by-step explanation:

we have two similar pentagons

I will do it in 2 ways.

=> 48/4x = (x+2)/x

=> 12/x = (x+2)/x

Because of pentagons so x > 0

=> 12 = x + 2 => x = 10

k is unknown number

=> 4x = k.x and 48 = k.(x + 2) (x > 0)

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7 0

2 years ago

81:18 equivalent to 36?

fiasKO [112]

9/2 is the correct anwer

6 0

3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

wariber [46]

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

$\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?$

It is required to find the missing value in the second equation.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

$\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)$

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

$\rm y = -2x+4 \\\\\rm 2x+y=4$ (multiply both the sides by 3)

$\rm 6x+3y=12$ ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

brainly.com/question/11897796

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2 years ago