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3 years ago

Work out 5 3/4 - 2 1/4

Mathematics

2 answers:

Scrat [10]3 years ago

7 0

Answer:

$3\frac{1}{2}$

Step-by-step explanation:

$5\frac{3}{4} -2\frac{1}{4} =3\frac{2}{4} =3\frac{1}{2}$

slavikrds [6]3 years ago

5 0

The answer is 14/4 or 3 2/4

5 3/4 = 23/4
2 1/4 = 9/4
23/4 - 9/4 = 14/4 or 3 2/4

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3 years ago

The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

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2 years ago

Read 2 more answers

Please help with hold page it is not alot I'm running out of the time

Travka [436]

I'll teach you how to do them, but not do them all for you.

2.
6:5 = ___:35
35 / 5 = 7
So you've got to multiply 6 by 7.
6:5 = 42:35

3.
2:3 = 20:___
20 / 2 = 10
So you've got to multiply 3 by 10
2:3=20:30

4.
36:24 = 6:___
36 / 6 = 6
So you've got to divide 24 by 6.
36:24 = 6:4

Keep trying and if you need more help feel free to ask.

7 0

4 years ago