We can estimate the answer before we start to be somewhere between `2` and `3`, because 32 = 9 and `3^3= 27`. But how do we find the answer?
First we take the logarithm of both sides of the given equation:
`log\ 3^x= log\ 12.7`
Now, using the 3rd log rule
logb (xn) = n logb x,
`x\ log\ 3 = log\ 12.7`
Now divide both sides by `log\ 3`:
`x= (log\ 12.7)/(log\ 3)``= 2.3135`
Is it correct? Checking in the original question, we have: `3^2.3135 = 12.7`. Checks okay. Also, our answer is between `2` and `3` as we estimated before.
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