abbeywithrow13 abbeywithrow13

12-04-2020
Mathematics

contestada

Find the exact value.

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

Respuesta :

wegnerkolmp2741o wegnerkolmp2741o

12-04-2020

Answer:

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

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