Find the exact value.

log81

3

A)

1

4

B)

1

8

C)

1

12

D)

1

16

Question

Mathematics

Shyla Welch

9 January, 08:30

Find the exact value.

log81

3

A)

1

4

B)

1

8

C)

1

12

D)

1

16

+2

Answers (1)

Know the Answer?

Conrad Blankenship · Answer 1

1/4

Step-by-step 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

Find the exact value.log813A)14B)18C)112D)116

Find the exact value.

log81

3

A)

1

4

B)

1

8

C)

1

12

D)

1

16