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Lapatulllka [165]
3 years ago
14

Express each expression as a single logarithm.​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

1. 6

2. 23

Step-by-step explanation:

1.

logx+1 ( x^2 + 2x + 1)^3

= 3logx+1  ( x^2 + 2x + 1)

= 3 logx+1 (x + 1)^2

= 6 logx+1 (x + 1)  Now the logx+1 x+1 = 1  so

The answer is 6.

2.

log11 11^23

= 23 log11  11

As in question 1 log11 11 = 1

So the answer is 23.

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Which point is located in Quadrant ll
katrin [286]

Answer:

(4,5)

Step-by-step explanation:

If you count the quadrants 1 and 2

                                            3 and 4

3 0
2 years ago
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Test due in 3 minutes please help.
adelina 88 [10]

Answer:

you cant use brainly for tests

Step-by-step explanation:

3 0
3 years ago
What is 1/4x+1+3/4x-2/3-1/2x
Aleks04 [339]

Answer: 1/2x + 1/3

Step-by-step explanation:

Given:

1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3

Step 1: Combine like terms

1/4(x) and 3/4(x) have a common denominator of 4.  This means that you can add them together.

1/4(x) + 3/4(x) = 4/4(x) = x

Step 2: Find the common denominator of x in step 1 and combine like terms  

x - 1/2(x) = 2/2(x) - 1/2(x)

Now that we have the common denominator of x, we can combine like terms.  Its the same as adding or subtracting fractions without a variable.  In this case, you must subtract 1/2(x) from 2/2(x).

2/2(x) - 1/2(x) = 1/2(x)

Step 3: Find the common denominator of the constants and combine like terms

1 - 2/3 = 3/3 - 2/3

Now combine like terms.  Simply subtract 2/3 from 3/3.

3/3 - 2/3 = 1/3

Step 4: Write the simplified equation

1/2(x) + 1/3

This is the answer

4 0
2 years ago
What is the slope of the line that includes points (36,-30) and (39,27)
DedPeter [7]

Answer:

The slope of the line is 19

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(27-(-30))/(39-36)=57/3=19

Therefore, the slope of the line is 19

7 0
2 years ago
Simplify 4 to the 7th over 5 squared all raised to the 3rd power
alisha [4.7K]
<h2>Answer:</h2>

\left(\frac{4^{21}}{5^6}\right)

or

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

<u>4 to the 7th:</u>

4^7

<u>5 squared:</u>

5^2

<u>4 to the 7th over 5 squared:</u>

\frac{4^7}{5^2}

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u>\left(\frac{4^7}{5^2}\right)^3</u>

Using the law of exponents:

\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0
3 years ago
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