Fill in the blank please
2 answers:
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Answer:
, where
.
Step-by-step explanation:
The question is asking for an expression for in terms of
.
The first step is to move as many constants away from the side with as possible. In this question, that could be done by subtracting
from both sides of the equation.
.
.
Notice how is in the position of an exponent. Logarithms could help move
out of that position.
For any base :
.
In this question, would be the base. That is:
.
Take the logarithm (with as the base) of both sides of the equation
:
- Left-hand side:
.
- Right-hand side:
.
Equate both sides to find an expression for :
.