Answer:
b. log6561(9) = 1/4
Step-by-step explanation:
The relationship between the exponential form and the log form is ...
[tex]b^n=x\\\log_b{(x)}=n[/tex]
The exponent is the logarithm. The base is the value the exponent is being applied to.
Here, you have ...
[tex]6561^{\frac{1}{4}}=9[/tex]
Comparing this to the form above, we see ...
b = 6561, n = 1/4, x = 9
so the log form of the equation is ...
[tex]\boxed{\log_{6561}{(9)}=\frac{1}{4}}[/tex]
This matches choice B.
