Log (25/9) in Terms of a & b: Find Answer Here

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SUMMARY

The discussion focuses on expressing log(25/9) in terms of variables a and b, where a = log(2) and b = log(3). The correct expression derived is log(25/9) = 2 - 2a - 2b. The user initially attempted to simplify log(25) - log(9) but struggled to reach the final answer without guidance. The solution involves recognizing the relationship between logarithmic properties and the given variables.

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dragon513
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oops wrong forum! Please move this thread...Q.1 Express in terms of the stated variable. If [tex]a = log (2)[/tex] and [tex]b = log (3)[/tex], what is [tex]log (25/9)[/tex] in terms of [tex]a[/tex] and [tex]b[/tex] ? My work [tex]log (25) - log (9)[/tex] [tex]= 2[log (5) - log (3)][/tex] 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 [tex]2 - 2a - 2b[/tex] I can backtrack from the answer, but I don't know how I would do it without it. Thank you!
 
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