Answer:
1/8
Step-by-step explanation:
log 81 sqrt(3)
log 81 (sqrt(3)) =x
Rewriting as an exponential expression
81 ^x =sqrt(3)
We know that 81 = 3^4
3^4^x = 3^1/2
We know a^b^c = a^ (bc)
3 ^(4x) = 3^1/2
The bases are the same so the exponents are the same
4x =1/2
Divide each side by 4
4x/4 = 1/2/4
x =1/8
