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3 years ago

HELP PLSSS THIS IS HARD SOMEONEEE

Mathematics

1 answer:

inna [77]3 years ago

6 0

Answer:

it's not even hard

Step-by-step explanation:

......

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6. Find the equation of a parabola with a focus of (0, 15) and directrix y = -15

mihalych1998 [28]

Hey i just need points
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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

3 0

2 years ago

Read 2 more answers

How many solutions are there in -2x+3y=7 and 2x-3y=-7

Rainbow [258]

The system has Infinitely many solutions.

Step-by-step explanation:

We need to find how many solutions are there in:

$-2x+3y=7\\ 2x-3y=-7$

Let:

$-2x+3y=7\,\,\,eq(1)\\ 2x-3y=-7\,\,\,eq(2)$

Adding eq(1) and eq(2)

$-2x+3y=7\\ 2x-3y=-7\\-------\\0=0$

Since a constant term is equal to constant term, so the system has Infinitely many solutions.

Keywords: Identifying Number of Solutions

Learn more about Identifying Number of Solutions

#learnwithBrainly

5 0

3 years ago

Is this a function graph

Nesterboy [21]

Answer:

Step-by-step explanation:

No, it's not a function as it fails the vertical line test

7 0

3 years ago

an online sporting goods store charges $12 for a pair of athletic socks. shipping is $2 per order. write an expression that hana

djverab [1.8K]

For one pair of socks you pay $12 plus $2 shipping.

Let's use x as the variable for how many pairs of socks someone might buy.

If someone buys 5 pairs of socks, they will pay $62. $12 * 5 + $2

So, we can write the expression as 12x + 2.

6 0

3 years ago