ASAP please Im so confused can you help!?!??!?!?!?!? What is 6 squared times 5 cubed.

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

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8 0

2 years ago

In the function y = 4x + 3, what is the value of the dependent variable if the value of the independent variable is 3?

emmainna [20.7K]

15=4(3)+3 so 15 is the value of the dependent variable

6 0

2 years ago

Jon has $72 in his bank account. In order to avoid fees, he must maintain a minimum balance of $12. He wants to buy comic books

Vedmedyk [2.9K]

Answer:

40 comic books

Step-by-step explanation:

well i dont see a graph but i can give you x, the number of comic books he can buy!

so if he must have a minimum balance of $12 and right now he has $72 then we subtract those and see how much money he has to spend

so that gives us $60 to spend on the comic books

so if each comic book costs $1.50 then we divide that into the $60 leaving us with

40 comic books that jon can buy!

3 0

3 years ago

Read 2 more answers

I need help with question

Licemer1 [7]

Answer

square root of 128 Lies between two square numbe

121 = 11 ^ 2

(11.1) ^ 2 = 133.1

So, √128 lies between 11.0 and 11.1.

<h3>Option A: 11.0 and 11.1 </h3>

6 0

1 year ago

What are some relavent facts about Maria Agnesi

pochemuha

Maria Gaetana Agnesi was born in a wealthy family in Milan. Her father was a mathematics professor at the University of Bologna. She was gifted in languages as a child and by the age of 11 she spoke Italian, French, Greek, Hebrew, Spanish, German and Latin.

5 0

3 years ago