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how do i solve 5 log(3) + log(4)?
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You need to use the following logarithmic identities, such that:
`b*log a = log a^b`
`log a + log b = log (a*b)`
Reasoning by analogy yields:
`5*log 3 = log 3^5`
Replacing `log 3^5` for `5*log 3` and using the next logarithmic identity yields:
`log 3^5 + log 4 = log (4*3^5) = log 972`
Hence, evaluating the logarithmic expression, using logarithmic identities, yields `5*log 3 + log 4 = log 972.`
Posted by sciencesolve on June 2, 2013 at 5:01 PM (Answer #1)
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