Question
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Answer
La solución es
.
Solution
-
Partimos de la ecuación:
-
Restamos 9 a ambos lados para aislar el término exponencial:
-
Dividimos ambos lados entre 2:
-
Aplicamos logaritmo en base 10 a ambos lados para poder sacar el exponente:
-
Usamos la propiedad de logaritmos
: -
Finalmente, despejamos
dividiendo ambos lados entre 6:
La solución de la ecuación es:
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Extra Insights
To solve the equation
, start by isolating the term with
. Subtract 9 from both sides:
This simplifies to:
Next, divide both sides by 2:
Now, take the logarithm (base 10) of both sides:
Finally, solve for
:
Calculating
, we get: