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Serga [27]
3 years ago
10

Write log4 14 as a logarithm of base 3. HELP!!!!!

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer:

\log_414=\frac{\log_{3}14}{\log_{3}4}

Step-by-step explanation:

We have given  log_4 14 is given we need to convert it in logarithmic base 3

Using log base change property

\log_ab=\frac{\log_cb}{\log_ca}

So, here we have to change log_4 14  using log base change property with base 3

where, a=4,b=14 and c=3

Substituting these values in log base change property and we get

Therefore, log_4 14=\frac{\log_{3}14}{\log_{3}4}

Sonja [21]3 years ago
3 0
It would be log3 14/log3 4
Hope this helps. (:
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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop
Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

8 0
3 years ago
What direction will this parabola open?
butalik [34]

Answer:

Step-by-step explanation:

4 0
2 years ago
Use parentheses to make 5+4×3×3
kherson [118]
The aNSWER IS 41..AM I RIGHT?
3 0
3 years ago
Read 2 more answers
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
timofeeve [1]

Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

7 0
3 years ago
Find 4 consecutive even integers such that when three times the smallest of the intagers is added to twice the largest their sum
zhannawk [14.2K]
If x is the first of the integers then the statement is:

(x) , (x+2) , (x+4) , (x+6)

This means that the smallest is x and the largest is x + 6

so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?

Wait remember how x started as the lowest? what if x was the highest instead?

x, x-2, x-4, x-6
so:

3(x-6) + 2(x) = 293
5x = 315
x = 62.2

This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.


3 0
3 years ago
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