Question

Write the equation 6561 1/4= 9 in logarithmic form.

Answer 1

Answer:

  b. log6561(9) = 1/4

Step-by-step explanation:

The relationship between the exponential form and the log form is ...

  $b^n=x\\\log_b{(x)}=n$

The exponent is the logarithm. The base is the value the exponent is being applied to.

Here, you have ...

  $6561^{\frac{1}{4}}=9$

Comparing this to the form above, we see ...

  b = 6561, n = 1/4, x = 9

so the log form of the equation is ...

  $\boxed{\log_{6561}{(9)}=\frac{1}{4}}$

This matches choice B.