Question

9
x
=6561
in logarithmic form is , and x =

Answer 1

To express the equation \( 9^x = 6561 \) in logarithmic form, you can rewrite it as:

\[
x = \log_{9}(6561)
\]

Now, to find the value of \( x \), you can also see that \( 6561 \) is a power of \( 9 \). In fact, \( 6561 = 9^4 \) since \( 9 \times 9 \times 9 \times 9 = 6561 \).

Therefore, you can conclude:

\[
9^x = 9^4 \implies x = 4
\]

So, in summary:

- The logarithmic form is \( x = \log_{9}(6561) \).
- The value of \( x \) is \( 4 \).