Question
How would you condense a logarithm expression into a single quantity if the logs have different bases?
Answers
Steve
not much you can do
log_3(27) + log_2(64) really have nothing in common
One thing you can do is convert to a common base:
log_3(27) + log_3(64)/log_3(2)
= log_3(27) + log_3(64^1/log^3(2))
= log_3[27 * 64^1/log_3(2)]
but that's not too simple
log_3(27) + log_2(64) really have nothing in common
One thing you can do is convert to a common base:
log_3(27) + log_3(64)/log_3(2)
= log_3(27) + log_3(64^1/log^3(2))
= log_3[27 * 64^1/log_3(2)]
but that's not too simple