Question
iven that
, find an expression for
in terms of
.
Ask by Carrillo Sullivan. in New Zealand
Jan 21,2025
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To solve the equation
, we start by rewriting
in terms of base
:
Now, we can substitute this back into the original equation:
Next, we combine the powers on the left-hand side:
This simplifies to:
Since the bases are the same, we can equate the exponents:
Now, we can solve for
:
Dividing everything by 3 gives us:
Thus, the expression for
in terms of
is: