If a and b are positive real numbers such that a notequalto

If a and b are positive real numbers such that a notequalto 1, b notequalto 1, and u is any positive real number, then the logarithmic expression log_bu is equivalent to which of the following? log_au/log_ab log_ub/log_ua

Solution

log _b u

applying change of base property

where we can change the base of log to a common base , lets say \'a \'

log _b u = log _a u / log _a b

( option a)