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3 years ago

PLEASE HELP!!! THX

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

3 0

Answer: 1) Product property of logarithm,

2) Subtraction property of logarithm

3) Equality property of logarithm

Step-by-step explanation:

By the Product property of logarithm,

log a + log b = log(a.b)

And, By the Subtraction property of logarithm

log a - log b = log(a/b)

Also, by the equality property of logarithm,

log(a) = log(b) ⇒ a = b

Given expression,

$log_2(5)+log_2(x+2)-log_2(x+1)=log_2(7)$

$\implies log_2(5(x+2))-log_2(x+1))=log_2(7)$ (Product property of logarithm)

$\implies log_2(\frac{5(x+2)}{2(x+1)})=log_2(7)$ (Subtraction property of logarithm)

$\implies \frac{5(x+2)}{2(x+1)}=7$ ( Equality property of logarithm )

$\implies 5(x+2)=7(x+1)$ ( Multiplicative property of equality )

$\implies 5x+10=7x+7$ ( Distributive property of equality )

$\implies 3=2x$ (subtraction property of equality )

$x=\frac{3}{2}$ (division property of equality )

n200080 [17]3 years ago

3 0

Answer:

Product property of Log

Quotient property of Log

Equality property of log

(I just did it. It showed me that this was the correct answer. Good luck any future person reading this.)

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Can I get some help abs an easy explanation pls

Svetlanka [38]

we are given the following triangles:

We are asked to determine the value of "y". To do that we will use the tangent of 25:

$\tan 25=\frac{y}{x}$

We solve for "y" by multiplying both sides by "x":

$x\tan 25=y$

Now, we take the tangent of 15:

$\tan 15=\frac{y}{30+x}$

Now, we solve for "y" by multiplying both sides by the denominator:

$(30+x)\tan 15=y$

Now, we set both values of "y" equal, we get:

$x\tan 25=(30+x)\tan 15$

now, we solve for "x". First, we apply the distributive property on the right side:

$x\tan 25=30\tan 15+x\tan 15$

Now, we substract

7 0

1 year ago

Hey:) can you please help me posted picture of question

Elina [12.6K]

Answer:
10x⁴ - 33x² - 7

Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ

Now, for the given:
To solve the given question, we will multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.

This can be done as follows:
(5x² + 1)(2x² - 7)
5x²(2x²) + 5x²(-7) + 1(2x²) + 1(-7)
10x⁴ - 35x² + 2x² - 7
10x⁴ - 33x² - 7

Hope this helps :)

3 0

3 years ago

A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of gettin

Annette [7]

Answer:

The probability of getting a peach or an apple is 2/3.

Step-by-step explanation:

There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.

7 0

2 years ago

5(x−3.8)=22<br> please help what the value of x is

Dimas [21]

Answer: x=0.6

Step-by-step explanation:

8 0

3 years ago

Help!! ASAP PLEASE!!!

vladimir2022 [97]

Step-by-step explanation:

from (2)

x-y=2

y=x-2 (3)

subs (3) into (1)

x²-2x+(x-2)=8

x²-2x+X-10=0

x²+x-10=0

quadratic formula

x= (-1±√1²-4×1×(-10))/2(1)

X=( -1±√41)/2

X=(-1+√41)/2

x=(-1-√41)/2

7 0

3 years ago