If you want to solve ex =6, you need to take the natural log of both sides.
ln ex =ln6
Now we have x=ln6 which can be left that way or approximated with a calculator.
ln means natural log, in case there was any question about that.
The answer is about 1.79176.
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Yes. You can tell by the fact that both variables are raised to the first power.
cube root of 216 = 6 > X= 6
1296
1 In fact any number raised to the power 0 is 1.
It is: 6 to the power of 3 = 216