Pregunta
Practice Another
Solve the following equation analytically. (Enter your answers as a comma-separated list.
Ask by Vaughn Campbell. in the United States
Mar 22,2025
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Solución
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Find the domain:
- step2: Simplify:
- step3: Convert the logarithm into exponential form:
- step4: Evaluate the power:
- step5: Transform the expression:
- step6: Check if the solution is in the defined range:
- step7: Find the intersection:
The solution to the equationis or approximately .
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Como
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Extra Insights
To solve the equation
, we first rewrite it as
. This indicates that
is the antilogarithm of
. Converting this to exponential form gives us:
Calculating this, we find:
So the solution to the equation is
.

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