Prove that 2^log3=3^log2 . All logarithm is in base 10.
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Apply logarithm on both sides
log (2^(log3)) = log (3^(log2))
(log3)(log2) = (log2)(log3)
Hence proved.
It is because log (a^m) = m log (a)
log (2^(log3)) = log (3^(log2))
(log3)(log2) = (log2)(log3)
Hence proved.
It is because log (a^m) = m log (a)
Anonymous:
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Oh wow, it was so easy lol
Thanku!
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hope this helps you
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