Solve: $$ \log _{4}(s)=-7 $$ $$ s=\square $$ Question Help: $$ \square $$ Video

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Solve the equation $$ \log_{4}(s)=-7 $$.
Solve the equation by following steps:
- step0: Solve for $$s$$:
  $$\log_{4}{\left(sight)}=-7$$
- step1: Find the domain:
  $$\log_{4}{\left(sight)}=-7,s>0$$
- step2: Convert the logarithm into exponential form:
  $$s=4^{-7}$$
- step3: Evaluate the power:
  $$s=\frac{1}{16384}$$
- step4: Check if the solution is in the defined range:
  $$s=\frac{1}{16384},s>0$$
- step5: Find the intersection:
  $$s=\frac{1}{16384}$$
The solution to the equation $$ \log_{4}(s)=-7 $$ is $$ s=\frac{1}{16384} $$ or approximately $$ s\approx 6.103516	imes 10^{-5} $$.
$$ s=\frac{1}{16384} $$

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