Pregunta
Solve for
in the equation below.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
Ask by Olson Smith. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
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Solución

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Como
Mind Expander
To solve the equation
, we can start by applying logarithms to both sides. Using the natural logarithm (though any logarithm would work) gives us:
Using the property of logarithms that allows us to bring the exponent down, we have:
Now, divide both sides by
:
Next, we isolate
by subtracting 8 from both sides:
Now we can calculate
and
:
Substituting these values in gives us:
Calculating the fraction:
So now we have:
Finally, rounding to the nearest hundredth:

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