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Logs help

Hi I am currently revising for ocr core 2 and I don't understand logs. I have tried mymaths, revision guides, and many exam papers but still find them confusing. Here is a paper I just did http://www.ocr.org.uk/Images/61393-question-paper-unit-4722-01-core-mathematics-2.pdf I understand most of it apart from question 8 and 9. Sorry for double thread but my first one has been deleted for some reason.
Any help would be greatly appreciated.
5^(3w-1) = 5^(3w) /5

Is that any help as a starter?

My calculator won't work out 4^(250) so I think if you have the same problem, you'll have to look at ways of breaking that down too.
4^(250) = (4^4)^125

And 5^(3w) looks as if you might be cube rooting somewhere.

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