Please HELP with this question?

Question

Simplify: log 256 to the base of a + 3 log 4 to the base of a – 1/2 log 64 to the base of a

a) log 260 to the base of a
b) log 2048 to the base of a
c) log 312 to the base of a
d) log 648 to the base of a

Answer 1

log256 to a+log4^3 to a -logsqrt(64) to a
because youhave formula nlog b to a= logb^n to a like bring power in front of log when you have log of something to power.
log(256*4^3)-log8 all base a because you have property for product log like loga*logb=loga+logb, we go backward
log16384-log 8 all base q
use quotient rule for log
log16384/8 base a
log 2048 base a
which is B. good luck