Express log(25/9) in terms of a and b

[dragon513]

oops wrong forum! Please move this thread...Q.1 Express in terms of the stated variable. If $$a = log (2)$$ and $$b = log (3)$$, what is $$log (25/9)$$ in terms of $$a$$ and $$b$$ ? My work $$log (25) - log (9)$$ $$= 2[log (5) - log (3)]$$ And I don't know where to go from here. I tried a few different approach but can't seem to get the answer. The answer, by the way, is $$2 - 2a - 2b$$ I can backtrack from the answer, but I don't know how I would do it without it. Thank you!

 

[Tide]

Use lowercase 't' when writing the 'tex' tag.