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son4ous [18]
3 years ago
5

Simplify the expression.

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

a^{\log_a b}=b\\\\12^{\log_{12}24}=24

Pachacha [2.7K]3 years ago
8 0

<u>Answer:</u>

The correct answer option is A) 24.

<u>Step-by-step explanation:</u>

We are given the following log expression and we are to simplify it:

1 2 ^ { log _ { 1 2 } } ^ { 2 4 }

Here, we are going to apply the rule for solving a log problem:

a^{log_a^{(b)} = b

So if 1 2 ^ { log _ { 1 2 } } ^ { 2 4 }, then it would be equal to 24.

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What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3
andrew-mc [135]
Solve <span>4x − 3y = 3 and  5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
</span>\frac{4x}{4} =  \frac{3x+3}{4} [Divide both sides by 4]
x=\frac{3}{4}y+ \frac{3}{4}

Step 2: Substitute \frac{3}{4}y+ \frac{3}{4}<span> for x in 5x-4y=3
5x-4y=3
5(</span>\frac{3}{4}y+ \frac{3}{4}<span>)-4y=3
</span>\frac{-1}{4}y+ \frac{15}{4}  =3
\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4} [Subtract \frac{15}{4} to both sides]
\frac{-1}{4}y= \frac{-3}{4}
\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }=  \frac{\frac{-3}{4}  }{ \frac{-1}{4}} [Divide both sides by \frac{-1}{4} ]
<span>y = 3

Step 3: Substitute 3 for y in x = </span>\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}(3)+ \frac{3}{4}
x = 3
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3 years ago
What are natural numbers?
scoundrel [369]
Natural numbers are lie 1 2 3 4 5 6 7 8 9 and so on
8 0
3 years ago
Read 2 more answers
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