How do you evaluate the expression $log_9 243$ ?

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Answer 1 · 2016-11-04T13:27:48

$log_(9)243=5/2$

$log_ab=c=>a^c=b$

$y=log_(9)243=>9^y=243$

recognising that $243$ is a power of $3$

$3^5=243$

and $9^(1/2)=3$

we have $(9^(1/2))^5=243$

$:.9^(5/2)=243$

$y=5/2$

How do you evaluate the expression log_9 243log_9 243?