Pregunta
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Solución
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Rewrite in exponential form:
- step2: Set the exponents equal:
- step3: Divide both sides:
- step4: Divide the numbers:
- step5: Move the constant to the right side:
- step6: Add the numbers:
The solution to the equationis or .
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Como
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Bonus Knowledge
To solve the equation
, start by expressing 25 as a power of 5, since
. This gives us
, which simplifies to
. Now, because the bases are the same, we can set the exponents equal to each other:
Next, solve for
by first dividing both sides by 2:
Finally, add 5 to both sides:
So,
.
That’s how you crack a logarithmic equation! But remember, it’s always good fun to try graphing both sides to see where they intersect – it gives a visual sense of your solution! Also, pay attention to details like base conversions; they can make or break your equation-solving flow. Keep practicing!

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