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r-ruslan [8.4K]
2 years ago
11

25^(x+2) = (1/5)^(4x)

Mathematics
1 answer:
dangina [55]2 years ago
8 0
The first step for solving this equation is to write 25^{x+2} in exponential form with a base of 5.
5^{2x+4} = ( \frac{1}{5}) ^{4x}
Write ( \frac{1}{5}) ^{4x} in exponential form with a base of 5.
5^{2x+4} = 5^{-4x}
Since the bases on both sides of the equal are the same,, set the exponents equal.
2x + 4 = -4x
Move the constant to the right side of the equation and then change its sign.
2x = -4x - 4
Now move the variable to the left side and change its sign.
2x + 4x = -4
Collect the terms with an x variable.
6x = -4
Lastly,, divide both sides of the equation by 6 to get your final answer.
x = - \frac{2}{3}
Let me know if you have any further questions.
:)
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Step-by-step explanation:

3 0
3 years ago
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Out of the 150 students at a summer camp, 72 signed up for canoeing. there were 23 students who signed up for trekking, and 13 o
True [87]

Answer:

Approximately 45% students signed up for neither canoeing or trekking.

Step-by-step explanation:

First we subtract the number of the students who signed up from the number of the total students to find the number of the students who did not signed up for either.

But there are 13 students who signed up canoeing and also for trekking.

Hence the number of students they signed up for activity is

72 + 23 - 13 = 82

And the number of students they not signed up for any activity is

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2 years ago
What is 16.748 rounded to nearest hundredths
IrinaK [193]

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17.000


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7 0
3 years ago
What is 2 numbers that multiply to get 6 and add up to get 10
lisabon 2012 [21]
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5 0
3 years ago
What is equivalent to <img src="https://tex.z-dn.net/?f=%283%5E6%293" id="TexFormula1" title="(3^6)3" alt="(3^6)3" align="absmid
kherson [118]

For this case we must indicate an expression equivalent to:

(3 ^ 6) ^ 3

For properties of powers we have to:

(a ^ n) ^ m = a ^ {n * m}

So, the above expression can be rewritten as:

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Thus, the resulting expression is: 3^{ 18}

Answer:

3^{ 18}

Option D

8 0
3 years ago
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