Pregunta
Write the equation in its equivalent exponential form. Then solve for
.
in its equivalent exponential form is
. (Do not simplify.)
Ask by Marshall Morgan. in the United States
Mar 23,2025
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Solución
-
We start with the logarithmic equation:
-
The equation can be rewritten in its equivalent exponential form. Recall that the general form
is equivalent to . Applying this to our equation: -
Thus, the solution is:
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Bonus Knowledge
To solve for
, we continue from the equivalent exponential form you provided:
. This means that
is equal to
divided by
to the power of
. So, if we calculate
, we have
.
Now for the final answer:
gives us
.
So, .
So,
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