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3 years ago

Solve for x. logx+log3=log18

Mathematics

2 answers:

ad-work [718]3 years ago

6 0

Answer:

The value of x in log x + log 3 = log 18 is 6.

Solution:

From question, given that log x + log 3 = log 18 ---- eqn 1

Let us first simplify left hand side in above equation,

We know that log m + log n = log (mn) ----- eqn 2

Adding log m and log n results in the logarithm of the product of m and n (log mn)

By using eqn 2, log x + log 3 becomes log 3x.

log x + log 3 = log 3x ---- eqn 3

By substituting eqn 3 in eqn 1, we get

log 3x = log 18

Since we have log on both sides, we can cancel log and the above equation becomes,

3x = 18

$x = \frac{18}{3} = 6$

Thus the value of x in log x + log3 = log18 is 6

sergeinik [125]3 years ago

4 0

Answer:

the answer is 6

I even toke the test as well.

it is not 6.00001

Step-by-step explanation:

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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

During a winter storm, the temperature on the top of a

Iteru [2.4K]

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

<h3>What is the average rate of change?</h3>

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

You can learn more about average rate of change at brainly.com/question/26420851

5 0

2 years ago

Which expression is equivalent to 6 - (-2)? -6 + 2 -6 - 2 6+2 6-2

Sveta_85 [38]

Answer:

6+2

Step-by-step explanation:

$6 - ( - 2)$