Evaluate

Log4^5-log5^4/log 4^1/5+log 5^1/4

3 answers

Recall that loga^b = b * loga
So, you have
log4^5-log5^4/log 4^1/5+log 5^1/4
(5log4 - 4log5)/(1/5 log4 + 1/4 log5)
once you start dividing logs, the usual rules get a bit trickier.
If all you want is a numeric value, then just plug and chug from here.
I still don't understand
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