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zmey [24]
4 years ago
8

Write the expression as a single logarithm 7log(x) y + 6 log(b) x

Mathematics
1 answer:
daser333 [38]4 years ago
5 0

Answer: log(x)^{7y}+log(b)^{6x}=log(x^{7y}b^{6x}).


Step-by-step explanation:

Given logarithm expression

7log(x)^y + 6 log(b)^x.

We need to write it as a single logarithm expression.

First we need to apply exponent rule of logs to remove 7 and 6 in front of logs.

n log(p) = log(p)^n

7log(x)^y + 6 log(b)^x.= log(x)^{7y}+log(b)^{6x}.

Now, we need to apply product rule of logs log(p)+log(q) = log(pq).

log(x)^{7y}+log(b)^{6x}=log(x^{7y}b^{6x}).

Therefore, final answer is log(x)^{7y}+log(b)^{6x}=log(x^{7y}b^{6x}).




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Neko [114]
18 Celsius because it is 64.4 in Fahrenheit which is a natural temperature and 50 is 122 in Fahrenheit which is very hot.
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6 0
3 years ago
WILL MARK BRAINLIEST FOR CORRECT ANSWER!
kompoz [17]

Answer: the third option is the correct answer

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 16√3

With m∠30 as the reference angle,

the adjacent side of the right angle triangle is x.

the opposite side of the right angle triangle is y.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = x/16√3

√3/2 = x/16√3

x = √3/2 × 16√3 = 3 × 8

x = 24

To determine y, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 30 = y/16√3

1/2 = y/16√3

y = 16√3 × 1/2

y = 8√3

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%285y%20%2B%209%29%286y%20-%201%29" id="TexFormula1" title="(5y + 9)(6y - 1)" alt="(5y + 9)(6y
mestny [16]
Hey there :)

( 5y + 9 )( 6y - 1 )

We need to use FOIL to expand, that is
First Terms
Outer Terms
Inner Terms
Last Terms

     First          Outer         Inner      Last
( 5y )( 6y ) + ( 5y )( - 1 ) + 9 ( 6y ) + 9 ( - 1 )
    30y²     -        5y      +    54y   -       9

Combine, if any, the like-terms
30y² + 49y - 9
7 0
3 years ago
Read 2 more answers
20 - (3 2/3 + 2 1/4 + 2 1/3) = ?
Alex777 [14]

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

           3 8/12.    2 3/12    2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

5 0
3 years ago
Please keep as simple as possible
Alenkinab [10]

Answer:

f(x) = (X^3 +6) + 4

Step-by-step explanation:

to move left add +6 from <u>inside</u> the parenthesis

to move up add +4 <u>outside</u> of parenthesis

<em>*since there were no parenthesis you add them*</em>

7 0
3 years ago
Read 2 more answers
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