Question

Find the exact value.

log81
3
A)
1
4
B)
1
8
C)
1
12
D)
1
16

Answer 1

1/8

Explanation:

Answer 2

1/4

Explanation:

log 81 (3) =x

Rewriting as an exponential expression

81 ^x =3

We know that 81 = 3^4

3^4^x = 3^1

We know a^b^c = a^ (bc)

3 ^(4x) = 3^1

The bases are the same so the exponents are the same

4x =1

Divide each side by 4

4x/4 = 1/4

x =1/4