Question

Write in simplified form 2log x+log y-3logz

Answer 1

do you know properties of logarithm??
like this log a + log b = log (a*b)

Answer 2

Yes I do

Answer 3

use this property first: \(\large log_b(x^y)=ylog_b(x) \)

Answer 4

How do I plug that in

Answer 5

then use the product to sum and quotient to difference properties.

Answer 6

in your first term,
\(\large 2logx=log(x^2) \)
can you do that with the third term in your equation?

Answer 7

Log(z^3)?

Answer 8

yes...
@hartnn , sorry, i didn't mean to hijack the problem.... do you want to continue this?

Answer 9

no u didn't hijack.....u please continue :)

Answer 10

ok... thanks.... :)

Answer 11

sorry haley.... chrome crashed on me....:(

Answer 12

That's quite alright! :)

Answer 13

so now your expression is: \(\large log(x^2)+logy-log(z^3) \)

now can you do the sum to product and difference to quotient rules for logs from here?

Answer 14

It's new material so I'm not very familiar with it. How do I begin?

Answer 15

here are the properties:

\(\large log_bx + log_by = log_b(x\cdot y) \) and
\(\large log_bx - log_by = log_b(\frac{x}{y}) \)

Answer 16

Ugh so lost I'm still not quite sure how to plug those in to solve

Answer 17

ok... i shouldn't have used x's and y's in the properties because your equation uses the same variables.....
lemme try again....

Answer 18

Ohh ok

Answer 19

What did you get for your answer? I got logx+logz
never mind.. that can't be right

Answer 20

this is your expression:
\(\large log(x^2) +logy - log(z^3) \)
applying the sum to product property on the first two terms we get:

\(\large \color {red}{log(x^2) +logy} - log(z^3) \)
\(\large \color {red}{log(x^2\cdot y)} - log(z^3) \)

still with me?

Answer 21

Yess

Answer 22

now applying the difference to quotient property of logs on the remaining terms to simplify we get:
\(\large log(x^2\cdot y) - log(z^3) \)
\(\large log(\frac{x^2\cdot y}{z^3} ) \)

Answer 23

So that's the simplifed expression o.O

Answer 24

I got something completely different lol. But you really helped out.

Answer 25

yep... your original expression was expressed in terms of 3 logs this one has 1...

Answer 26

what did you get?

Answer 27

i think i'm correct... lemme check...

Answer 28

When a system releases heat to the surroundings it is a(n) _____ process.
A. neutral
B.

Answer 29

Analyze how different concentrations of solutes in a solution can affect organism's cells.

Answer 30

Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length.

Answer 31

Anatomy Tutorial: Lymphatic Tissues & Organs

Answer 32

In a well-written paragraph, describe a government-based effort (international or not) to improve resource use and management.

Answer 33

In a reaction (at equilibrium) that makes fewer moles of gas than it consumes, what is the effect of lowering the pressure?
A.

Answer 34

This activity may be done on your own or collaboratively. If you choose to do this activity collaboratively with another student, you must meet the followin

Answer 35

A 30.0 L sample of nitrogen inside a rigid metal container at 20.0 u00b0C is placed inside an oven whose temperature is 50.

Answer 36

How do we calculate total time and free float time?
In critical path analysis.

Answer 37

Anatomy Tutorial: Endocrine Functions of Other Organs

Answer 38

Anatomy Tutorial: The Adrenal Glands

Answer 39

grignard + ester mechanism check

Answer 40

acidity of carbonyl compounds question

Answer 41

Yuriu2019s sister Karina is 12 years old. In the equation below, y represents Yuriu2019s age in years.

Answer 42

Music

Answer 43

A rat poison with an LD50 of 6 mg/kg of body weight would be expected to cause more harm to the skin and eyes than a product with an LD50 of 600 mg/kg.

Answer 44

A substance found in drinking water thought to be causing suspicious deaths would be analyzed in a ________.

Answer 45

The alcohol test done with a breathalyzer is only used for screening because its readings are not well related to the alcohol content in the lungs and blood

Answer 46

The combined use of heroin and alcohol _____.

does not affect driving ability
ma

Answer 47

Mike and Matt went down into the , dusty basement to look for the old baseball cards.