given that log(4) 3 = a and log(4) 5 = b ,express 375 in terms of a and/or b .

1 answer

375 = 3*5^3

Assuming you meant to ask for log 375,
log 375 = log 3 + 3 log 5 = a+3b

or, if you actually wrote what was intended,
375 = 4^a * 4^3b = 4^(a+3b)