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ra1l [238]
3 years ago
9

What does 7^x=21 in a logarithmic equation

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
Loga x=n ⇔ a^n=x
log₇ 21=x

x=log ₇ 21
x=ln 21 / ln7=1.564575034...

Answer: x=log₇ 21
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Two of the angles in a triangle measure 8° and 13°. What is the measure of the third angle?
Mrrafil [7]
The measure of the third angle would be 159 degrees
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3 years ago
What are the solutions to the quadratic equation 2x^2-8x-24=0
Vinvika [58]

2x^2 - 8x - 24

First, we can factor a 2 out of this expression to simplify it.

2(x^2 - 4x - 12)

Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.

We're gonna try using the AC method first.

List factors of -12.

1 * -12

-1 * 12

2 * -6

-2 * 6 (these digits satisfy the criteria.)

Split the middle term.

2(x^2 - 2x + 6x - 12)

Factor by grouping.

2(x(x - 2) + 6(x - 2)

Rearrange terms.

<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
7 0
3 years ago
Read 2 more answers
Sixty more than nine times a number is 375
zmey [24]

Answer:

well... x is 35 if that's what your'e asking :)

Step-by-step explanation:

8 0
2 years ago
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After a 15% increase, a town has 115 people. What was the population before the increase?
Arte-miy333 [17]

Answer:

100 people

Step-by-step explanation:

<em>Population</em><em> </em><em>Of</em><em> </em><em>People</em><em>=</em><em>1</em><em>1</em><em>5</em><em>Percentage</em><em>ncrease</em><em>=</em><em>1</em><em>5</em><em>%</em>

<em>The</em><em> </em><em>New</em><em> </em><em>Population </em><em>corresponds </em><em>to</em><em> </em><em>1</em><em>1</em><em>5</em><em>%</em>

<em>(</em><em>That</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>0</em><em>+</em><em>1</em><em>5</em><em>)</em>

<em>We</em><em> </em><em>want</em><em> </em><em>to </em><em>find</em><em> </em><em>the</em><em> </em><em>popula</em><em>tion</em><em> </em><em>that</em><em> </em><em>corresponds</em><em> </em><em>to </em><em>100%</em><em> </em><em>that </em><em>is </em><em>the</em><em> </em><em>original</em><em> </em><em>population</em><em>.</em>

<em>Therefore</em><em> </em><em>Original </em><em>Population</em><em>;</em>

<em>\frac{100}{115}\times {115}{}</em>

<em>100 \: people</em>

7 0
2 years ago
Can you please help me ​
mylen [45]

Answer:

3

Step-by-step explanation:

please remember when dividing letters or numbers of the same base then their exponents will be minused.

4 0
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