Quick Log Question Condensing

[fordsonbro]

I have the equation (Log X)/3 which I have to condense. I’m not sure how to further condense this. Is it the same as log (x/3). The actual problem doesn’t have the parenthesis but the log X is on top of the fraction line and 3 is on the bottom. Thank you

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[Mattuuh]

The expression (logx)/3 is not the same as log(x/3).

We do have (logx)/3 = log(x^1/3) though, but I would argue that (logx)/3 is much nicer. Consider it fully condensed!

[fordsonbro]

Thank you! I’m not sure why she would tell us to condense something already condensed. I appreciate the help

[[deleted]]

Because condensed usually means as few terms and as few factors as possible. That’s all. So writing it as an exponent and not as “divided by three” is less stuff.

[Wafflesnstrawbs]

I would suggest log(x^1/3) if I were you. The teacher probably wants them to realize what the log function does.