sparMariaLizH sparMariaLizH

11-06-2016
Mathematics

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How do you add logs with different bases? e.g. log (base 2) y + log (base 4) y = 6 Thanks in advance!

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taskmasters taskmasters

11-06-2016

This could be done by shifting bases:

log (base a) b = [log (base 10) b]/[log (base 10) a], *note it could be any other base ( it could be base e)

solving the given problem: (log y/ log 2) + (log y/log 4) = 6

log y = 1.2041

y = 16

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