Pregunta
Which expression can be reduced?
All of the selections
All of the selections
Ask by Sanders Cervantes. in the United States
Mar 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
All of the selections can be reduced.
Solución
To determine which expression can be reduced, we need to simplify each expression using the properties of logarithms and exponents.
-
- The natural logarithm of
can be simplified using the property . - Therefore,
.
- The natural logarithm of
-
- The logarithm base 5 of
can be simplified using the property . - Therefore,
.
- The logarithm base 5 of
-
- The expression
can be simplified using the property . - Therefore,
.
- The expression
Based on the simplifications, all three expressions can be reduced to a single value. Therefore, the answer is “All of the selections.”
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Mind Expander
The expression
can be simplified directly. By the properties of logarithms, specifically that
, it reduces to
. Similarly,
can also be simplified; since the base and the argument are the same, this expression simplifies to
. On the other hand,
is a bit ambiguous since there’s no number following
to clarify.
In summary, both
and
are easily reducible to numbers, while
lacks clarity for reduction as it stands. So, we can’t confidently say “all selections” can be reduced.

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