math help: Hey, if you’re any good at math, I could really use your help.

MaggieRae17

Hey, if you’re any good at math, I could really use your help.

I have a math problem I just can’t seem to figure out. I googled it, but didn’t find anything that explained it well enough so that I understood the concept. That and some of the steps they put seemed to come out of no where.

The problem is 3 divided by 9 to the power of X and it all equals 243.
3/(9^X)=243

So what I have so far is that I tried to isolate X-

9^x(3/(9^x)=243)
3=2187^x
This is the xth root of - x|
So, then I took the xth root of the whole thing…
x|(3=2187^x)
x|(3)=2187
…
and I just don’t know where to go from there.

Does anyone know how to solve for X?

This open post was written 4 years, 2 months ago | V/U/S: 1,115, 8, 2 | Edit Post | Leave a reply | Report Post

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Since writing this post MaggieRae17 may have helped people, but has not within the last 4 days. MaggieRae17 is a verified member, has been around for 4 years, 7 months and has 18 posts and 417 replies to their name.

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Vilén 2 #
An Undisclosed Location | 4 years, 2 months ago (4 minutes after post)

> 3/(9^x) = 243

> 3 = 243 * 9^x

> 3/243 = 9^x

> log(3/243) / log(9) = x

> x = -2

Help me with: For the conservatives/libertarians out here:

MaggieRae17 2 #
An Undisclosed Location | 4 years, 2 months ago (6 minutes after post)

Hm. Maybe the teacher should have mentioned we can do that. ;) Would have made life a lot easier. I’ve spent a couple of hours trying to figure this one out.

Help me with: I try so hard, but I’m still a disappointment.

fractal.scatter 1 #
An Unknown Location | 4 years, 2 months ago (6 minutes after post)

3/(9^x)=243
(9^x)=3/243
ln(9^x)=ln(3/243)
x.ln9=ln(3/243)
x=ln(3/243)/ln9
x=-2

Help me with: Insignificance.

MaggieRae17 2 #
An Undisclosed Location | 4 years, 2 months ago (7 minutes after post)

Just out of curiousity, is there any way to do this one by hand?

Help me with: I try so hard, but I’m still a disappointment.

fractal.scatter 1 #
An Unknown Location | 4 years, 2 months ago (11 minutes after post)

Possibly I guess, maybe something to do with the threes (write 9=3*3) and then do a log with a different base than e or 10.

Help me with: Insignificance.

MaggieRae17 2 #
An Undisclosed Location | 4 years, 2 months ago (1 week after post)

Ok, to do this one by hand-
From here
x|(3)=2187

3^(1/2)= 2187 ^ Y(Whatever the number is, once you reduce to the Greatest common factor)

Then assuming it’s 3, *So there are no more steps involved* you would subtract 1/2 from Y to get the answer. Which in this case is -2.

Help me with: I try so hard, but I’m still a disappointment.

fractal.scatter 1 #
An Unknown Location | 4 years, 2 months ago (1 week after post)

MaggieRae17 wrote:
Ok, to do this one by hand-
From here
x|(3)=2187

3^(1/2)= 2187 ^ Y(Whatever the number is, once you reduce to the Greatest common factor)

Then assuming it’s 3, *So there are no more steps involved* you would subtract 1/2 from Y to get the answer. Which in this case is -2.

Very good :)

Help me with: Insignificance.

MaggieRae17 2 #
An Undisclosed Location | 4 years, 2 months ago (2 weeks, 1 day after post)

Help me with: I try so hard, but I’m still a disappointment.

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Hey, if you’re any good at math, I could really use your help.

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