Question

logarithmic form (unique id: 0294)
this is the only question in this section.
question
solve for a positive value of x.
\\(\log_{9}(x) = 2\\)
answer attempt 7 out of 12

Explanation:

Step1: Recall logarithm definition

The logarithmic equation $\log_{b}(a) = c$ is equivalent to the exponential equation $b^{c}=a$. Here, $b = 9$, $c = 2$, and $a=x$.

Step2: Convert to exponential form

Using the definition, we convert $\log_{9}(x)=2$ to exponential form: $9^{2}=x$.

Step3: Calculate $9^{2}$

$9^{2}=9\times9 = 81$. So $x = 81$.

Answer:

81