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3 years ago

Find the value of x in the following..... 3^x = 8

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

7 0

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

GrogVix [38]3 years ago

7 0

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log $x^{n}$ = n logx

Given

$3^{x}$ = 8 ( take the log of both sides )

log $3^{x}$ = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = $\frac{log8}{log3}$ ≈ 1.893

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Find the length of dm in the given fig.

lesya692 [45]

Answer:

$DM=12$

Step-by-step explanation:

(Let the point where the altitude from $D$ intersects $AB$ be called as point $E$ .) First, let's find the area of parallelogram $ABCD$ . The area of a parallelogram is simply $b*h=bh$ , where $b$ is the parallelogram's base and $h$ is the parallelogram's height. If we let $AB$ and $DE$ be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram $ABCD$ will be $AB*DE=15*8=120$ .

Now, how does this information matter, you might ask? Well, we can take either $AB$ <em>or </em> $CB$ to be the base and either $DE$ or $DM$ to be the height. In this case, let's take the latter two options, as we are looking to find the length of $DM$ .

Therefore, we know that the area of parallelogram $ABCD$ can also be found by calculating $CB*DM$ . Since we know the values of the area and $CB$ , we can write the following equation to solve for $DM$ :

$Area = CB*DM$

$120=10*DM$ (Substitute $Area=120$ and $CB=10$ into the equation)

$\frac{120}{10}=\frac{10*DM}{10}$ (Divide both sides of the equation by $10$ to get rid of $DM$ 's coefficient)

$12=DM$ (Simplify)

$DM=12$ (Symmetric Property of Equality)

Hope this helps!

4 0

2 years ago

Marcus is skiing. He is 869 1/10 get up the mountain. He descends to 450 7/10 feet. What is his change in elevation

MatroZZZ [7]

Answer:

418 4/10

Step-by-step explanation:

To answer this we subtract 450 7/10 from 869 1/10.

We must borrow a '1' from 869 1/10: 868 11/10

Now subtract 450 7/10 from 868 11/10:

418 4/10 (CHANGE IN ELEVATION)

This reduces to 418 2/5.

7 0

2 years ago

Please help , if you can help me with a few more problems that would be lovelyyy just hit my dms my insta is ynlness.a :)

SSSSS [86.1K]

Answer:

I think it is b

Step-by-step explanation:

it is just rotating the size is not changing

4 0

2 years ago

A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 65, \sigma = 8.2$