i need help in log problem

[frank kraken]

please solve using Properties of logarithm

[calm sand]

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[ionic salmon]

whaa

$\log_2 \frac{80}{9}-2 \left(\log_2\frac{16}{15} \right) + \frac{3}{2} \log_2 \frac{5}{2}$

[sand notch]

wolfqz

[ionic salmon]

this what u looking for? @\

@frank kraken

[glossy aurora]

I think you forgot to paranthesize the right terms

[ionic salmon]

i know

that's why i was confused

[glossy aurora]

in this particular problem we would have to use properties of logarithms, so, log(a^b)=blog(a) and log(axb)=loga+logb, similarly log(a/b)=loga-logb

[vale talon]

**When helping people, please do not dump the full solution. **
Remember that these people are trying to learn concepts, and our goal should be to reinforce them. Giving them a solution will not help.

**Instead, give them hints and guide them toward the correct solution. **
You can ask things like "what part did you get stuck on?" or "what have you tried so far?" or give them a small starting hint. This ensures better learning. For more tips, reach out to Schlaumau (@schlaumau).

[glossy aurora]

what would be your first step?

[frank kraken]

okay sorry

i wast not on discord

[ionic salmon]

@frank kraken

[frank kraken]

that is wrong

it should be -2(...)

[ionic salmon]

wha5 r u trying to get then

$\log_2 \frac{80}{9}-2 \left(\log_2\frac{16}{15}+ \frac{3}{2} \log_2 \frac{5}{2} \right)$

this?

[frank kraken]

yes

w8

the 3/2 also *-2

[sand notch]

wolfqz

[frank kraken]

yes

right

[ionic salmon]

this or does the bracket end before log_2 5/2

[frank kraken]

dose not matter i think because the -2 will go with 3/2 * -2 it will be -3

[ionic salmon]

it does matter

[frank kraken]

in the original question its like this

[ionic salmon]

oh ok

then thats cool

[frank kraken]

ye

[ionic salmon]

so first distribute the 2

[frank kraken]

ok

[frank kraken]

umm where are you?

[ionic salmon]

im here

so after u distribute the two

u bring it up to the power

[sand notch]

wolfqz

[frank kraken]

okay

then

[ionic salmon]

use the rule]

[frank kraken]

i have another question

easier

how do i use this bot to write it?

,help

[sand notch]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[frank kraken]

its easier because its proof