logs

[winged bay]

im. stuck.
I think its a hidden quadratic ewuation

[frank marten]

it is a hidden quadratic

so what do you want to make your like replacement

normally you wanna replace something with like 'y' so

what would you want to replace

@winged bay

[winged bay]

the 3^x

[frank marten]

awesome so

if you did like

y=3^x

what would your y^2 be

[winged bay]

3^2x?

[frank marten]

perfect so

that looks a bit like that 3^(2x+1) doesnt it

how can you turn 3^(2x+1)

[winged bay]

Yeah

[frank marten]

into something with 3^2x and other stuff

(clue index laws)

[winged bay]

I. Don know let me get my paper

Hold on

[frank marten]

yep ok

[winged bay]

Hm idk I thought you cought just raise to ^1 but that would make it the same

Thought

[frank marten]

So do you remember the one that’s like

a^m times a^n = a^(m+n)

Try use that one

[winged bay]

Oh yeah you add the powers

[frank marten]

So here you already have added powers

So can you maybe like

Split

[winged bay]

divivde?

[frank marten]

Not divide

So normally you have

Things multiplied you add the powrrs

But now

You wanna turn added powers

Into things that are multiplied

Right?

You wanna work it backwards

[winged bay]

Oh yeah do you judt split it then

[frank marten]

Into what

[winged bay]

3^(2x) multiplied by 3^1

[frank marten]

Perfect

[winged bay]

Is that irght

[frank marten]

Aka 3 * 3^(2x)

Then try that y=3^x

See what happens

[winged bay]

3y^2 -28y+9?

[frank marten]

Perfect

[winged bay]

And then just solve for y and then use logs to find x

[frank marten]

Yep

[winged bay]

yay Thanks!😊😊