Wednesday, June 13, 2012

If x=3^y, what to you think you would write to solve for y? Explain

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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