Question
Use the like bases property to solve the equation
Ask by Erickson Boyd. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
-
Start with the equation:
-
Divide both sides by
to isolate the exponential term: -
Express
as a power of : -
Now the equation becomes:
-
Since the bases are the same, equate the exponents:
Thus,
.
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Mind Expander
To solve the equation
, first, divide both sides by 7:
Since
can be expressed as
, we have:
Now, because the bases are the same, we can set the exponents equal to each other:
Thus, the solution is
.