SOLUTION: solve for x: log(base 4) x^9=6
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Question 571026: solve for x: log(base 4) x^9=6
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Use the definition of logarithms to write in exponential form.
So, log(base 4) x^9 = 6 becomes 4^6 = x^9.
We now solve for x.
4^6 = 4096
4096 = x^9
Take ninth root of both sides of the equation.
The answer for x is 2(9throot{8}) or in decimal form x is approximately
2.5198 and that's it.
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