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3 years ago

Question 3: Solve the Variables Will give brainliest, must show work and answers!

Mathematics

1 answer:

dybincka [34]3 years ago

5 0

3.

x = 3 because the 2 legs of 45-45-90 triangle are equal

y^2 = 3^2 + 3^2 = 18
y = sqrt 18 = 3 sqrt2

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

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The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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1 year ago

Store A has hats, 5 for $43.50. Store B has hats, 10 for $90. Which store offers the best deal?

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umm A cuz if u get 5+5 hats u only have to pay $87.00 and if u get two 10+10 hats that will be 90+90 which is $180 which is more i tried my guy-

Step-by-step explanation:

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