Reed Hills
07/02/2023 · Middle School
a) \( \log _{x} 0,04=-1 \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación \( \log_{x} 0,04 = -1 \), podemos utilizar la definición de logaritmo. La ecuación se puede reescribir en forma exponencial:
\[
x^{-1} = 0,04
\]
Esto significa que:
\[
\frac{1}{x} = 0,04
\]
Ahora, para encontrar \( x \), tomamos el recíproco de ambos lados:
\[
x = \frac{1}{0,04}
\]
Calculamos \( \frac{1}{0,04} \):
\[
x = 25
\]
Por lo tanto, la solución es:
\[
x = 25
\]
Quick Answer
La solución es \( x = 25 \).
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