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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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HELP PLEASE!!!!!!!!!!!!

Bogdan [553]

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and

$x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2}$ and

$x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}$

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :

x can be any real number

Range:

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :

$f(x) = x^{2} +2x-5 =x^{2} (1+\frac{2}{x} -\frac{5}{x^{2} } )$

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

7 0

3 years ago

20 is what percent of 160

stira [4]

In this problem WP means what percent

20 = WP X 160

solve for WP, by dividing both sides by 160

and you get:

0.125 = WP

Change your decimal into a percent by multiplying by 100%

12.5% is your result.

7 0

3 years ago

Brianna works at an electronics store as a salesperson. Brianna earns a 4% commission on the total dollar amount of all phone sa

svetoff [14.1K]

Answer:

P(x)=0.025x+100

Step-by-step explanation:

The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.

8 0

3 years ago

Read 2 more answers

A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib

Jet001 [13]

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 502, \sigma = 115$

The proportion of students between 400 and 590 is the p-value of Z when X = 590 subtracted by the p-value of Z when X = 400, hence:

X = 590:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{590 - 502}{115}$

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{400 - 502}{115}$

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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6 0

2 years ago

The model of a circular garden is 8 inches in diameter. The actual garden will be 20 feet in diameter. Find the scale of the mod

8_murik_8 [283]

Answer:

1/30 of a scale.

Step-by-step explanation:

Multiply the 20 by 12 to convert it to inches. Then divide the answer by 8 to get the scale.

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3 years ago