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 Post subject: Teslim.Posted: Fri, 13 Jan 2012 20:04:23 UTC
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Joined: Sun, 25 Dec 2011 00:28:25 UTC
Posts: 95
Hello.

I have tried nothing, because I don't know what to try!

And pretty much the same with the second one too:

But I would really like to know how to solve it without calculator!

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 Post subject: Re: Teslim.Posted: Fri, 13 Jan 2012 20:48:44 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 15559
Location: Austin, TX
kreshnik wrote:
Hello.

I have tried nothing, because I don't know what to try!

And pretty much the same with the second one too:

But I would really like to know how to solve it without calculator!

Taking logs of both sides in base 3, you get:

Now do division:

. Now cancel like terms.

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 Post subject: Re: Teslim.Posted: Fri, 13 Jan 2012 21:09:06 UTC
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Joined: Sun, 25 Dec 2011 00:28:25 UTC
Posts: 95
Taking logs of both sides in base 3, you get:

Now do division:

. Now cancel like terms.

Thank you very much.

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 Post subject: Re: Teslim.Posted: Fri, 13 Jan 2012 22:44:06 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 15559
Location: Austin, TX
kreshnik wrote:
Taking logs of both sides in base 3, you get:

Now do division:

. Now cancel like terms.

Thank you very much.

Ooh! Alternatively, you can go from what you did and use the change of base formula:

Your work shows and , then you get

and one last way you could do it from the way you started is to use the log property so that you can avoid the change of base formula and just get

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