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C2 Logs question

Can somebody please help me with this Logs question its question 5c on solomon paper H

https://b940eb267c31463d4d23ccfd3105c3b78e5616c6.googledrive.com/host/0B1ZiqBksUHNYUnQzSHRkZ3JoNGs/for-EdexceThanks, Joel/Solomon%20H%20QP%20-%20C2%20Edexcel.pdf

I honestly don't have a clue on whats the best way to start it, so if someone could show me the basics id be grateful. Also is it likely id get something like this in the real exam, just I've never seen anything like this before.
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Reety
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Original post by Reety
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sorry https://b940eb267c31463d4d23ccfd3105c3b78e5616c6.googledrive.com/host/0B1ZiqBksUHNYUnQzSHRkZ3JoNGs/for-Edexcel/Solomon%20H%20QP%20-%20C2%20Edexcel.pdf
Original post by joe1545


Set them equal to each other then take logs of both sides. For this question you will need to know pretty much all of the log rules

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So you have:

(12)x=2(3x)(\frac{1}{2})^{x} = 2(3^x)

You can log both sides here.

log⁡(12)x=log⁡[2(3x)]\log (\frac{1}{2})^{x} = \log [2(3^x)]

Use your multiplication law to separate the log on the RHS.

log⁡(12)x=log⁡2+log⁡(3)x\log (\frac{1}{2})^{x} = \log 2 + \log (3)^x

From here you can use the power law, and you should be able to solve from there

For logarithmic equation questions, its best to think about the problem step by step, don't try do it all in one go

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