7/8 ÷1 1/2 <br><br><br><br> I am only giving out 10 points because i only have 14

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

2 years ago

Which of the following points is most likely a high-leverage point with respect to a regression of monthly sales versus advertis

Ivanshal [37]

Answer:

Extreme high or low so

Step-by-step explanation:

(6.7, 108)

7 0

3 years ago

The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature i

beks73 [17]

Answer:

See explaination

Step-by-step explanation:

Refer to attached file for table used in solving mean.

The mean of range is

\bar{R}=\frac{13.3}{20}=0.665

The mean of all six means:

\bar{\bar{x}}=\frac{1907.96}{20}=95.398

(a)

Here sungroup size is 5:

Range chart:

From constant table we have

D_{4}=2.114

So upper control limit:

UCL_{R}=D_{4}\cdot \bar{R}=2.114\cdot 0.665=1.40581

Lower control limit:

LCL_{R}=0.0000

Central limit: \bar{R}=0.665

Since all the range points are with in control limits so this chart shows that process is under control.

-----------------------------

X-bar chart:

From constant table we have

A_{2}=0.577

So upper control limit:

UCL_{\bar{x}}=\bar{\bar{x}}+A_{2}\cdot \bar{R}=95.398+0.577\cdot 0.665=95.78

Lower control limit:

LCL_{\bar{x}}=\bar{\bar{x}}-A_{2}\cdot \bar{R}=95.398-0.577\cdot 0.665=95.01

Central limit: \bar{\bar{x}}=95.398

Sample number 94.82 is not in teh limits of x-bar chart so it seems that process is not in control

4 0

3 years ago

A school collected 1,204 cans of food during a food drive that lasted 28 days. How many cans were collected on average each day

makkiz [27]

Answer:

25

Step-by-step explanation:

3664-56353

6 0

4 years ago

Help me please I don’t know what to don

Hoochie [10]

The mistake was in the distributive property
4y-(5-9y) =4y-5-9y

It should’ve been 4y-5+9y

4 0

3 years ago

7/8 ÷1 1/2 I am only giving out 10 points because i only have 14