Answer:
Solve \bf{log_3 \:81}log
3
81
Answer :
\bf{log_3 \:81=4}log
3
81=4
Factor the number 81 :
Prime factorization: 81 = 3 × 3 × 3 × 3
= 3⁴
So, \bf{log_3 \:81} = log _3\left(3^4\right)}
Apply Log Rule : \bf{log _a\left(a^x\right)=x}log
a
(a
x
)=x
\bf{log _3\left(3^4\right)} = 4log
3
(3
4
)=4
9514 1404 393
Answer:
log₃(81) = 4
Step-by-step explanation:
There are a few ways you can go at this. Perhaps the simplest is to recognize that 81 is a power of 3.
log₃(81) = log₃(3⁴)
log₃(81) = 4
__
You can also use the "change of base" formula:
log₃(81) = log(81)/log(3) ≈ 1.908485/0.4771213
log₃(81) = 4
__
A suitable calculator works, too.
