Solve. $$ \log _{3}(v)=-4 $$ $$ v= $$ Question Help: Dideo Submit Question

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Solve the equation $$ \log_{3}(v)=-4 $$.
Solve the equation by following steps:
- step0: Solve for $$v$$:
  $$\log_{3}{\left(v\right)}=-4$$
- step1: Find the domain:
  $$\log_{3}{\left(v\right)}=-4,v>0$$
- step2: Convert the logarithm into exponential form:
  $$v=3^{-4}$$
- step3: Evaluate the power:
  $$v=\frac{1}{81}$$
- step4: Check if the solution is in the defined range:
  $$v=\frac{1}{81},v>0$$
- step5: Find the intersection:
  $$v=\frac{1}{81}$$
The solution to the equation $$ \log_{3}(v)=-4 $$ is $$ v=\frac{1}{81} $$.
$$ v=\frac{1}{81} $$

Solve. \( \log _{3}(v)=-4 \) \( v= \) Question Help: Dideo Submit Question

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