Solve: $$ \log _{2}(m)=9 $$ $$ m=\square $$

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Solve the equation $$ \log_{2}(m)=9 $$.
Solve the equation by following steps:
- step0: Solve for $$m$$:
  $$\log_{2}{\left(m\right)}=9$$
- step1: Find the domain:
  $$\log_{2}{\left(m\right)}=9,m>0$$
- step2: Convert the logarithm into exponential form:
  $$m=2^{9}$$
- step3: Evaluate the power:
  $$m=512$$
- step4: Check if the solution is in the defined range:
  $$m=512,m>0$$
- step5: Find the intersection:
  $$m=512$$
The solution to the equation $$ \log_{2}(m)=9 $$ is $$ m=512 $$.
$$ m=512 $$

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