Question 1083245: What is the least integer greater than log3 38? Found 4 solutions by Boreal, Edwin McCravy, MathLover1, KMST:Answer by Boreal(15235) (Show Source):
I think this is the way your teacher expects you to find the
answer:
log338 means
the exponent to which 3 must be raised to give 38.
So to find the least integer greater than that exponent,
we begin by trying integer exponents of 3 until we find
the smallest integer such that when 3 is raised to that
power, the answer is greater that 38.
We begin by trying exponent 1:
31 = 3 <--smaller than 38, so we try the next integer 2.
32 = 3×3 = 9 <--still smaller than 38, so we try 3
33 = 3×3×3 = 27 <--still smaller than 38, so we try 4
34 = 3×3×3×3 = 81 <--that's it! for 81 is greater than 38
So the least integer greater than log338 is 4.
Edwin
