To solve the equation for y, we'll have to take natural or
decimal logarithms both sides.
Why? Only using the power
properties of logarithms, we'll get down the variable y from superscript position, where
it is actually.
ln x = ln
(3^y)
We'll use the power
property:
ln x = y*ln 3
Now,
we'll use the symmetrical property:
y*ln 3 = ln
x
We'll divide by ln 3:
y = ln
x/ ln 3
The required y is: y = ln x/ ln
3.
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