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Solve `4^(9x-3) =50`

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monique06 | (Level 3) Valedictorian

Posted June 5, 2013 at 1:08 PM via web

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Solve `4^(9x-3) =50`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 5, 2013 at 2:22 PM (Answer #1)

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The equation `4^(9x-3) = 50` has to be solved.

`4^(9x-3) = 50`

Take the logarithm of both the sides

`log(4^(9x-3)) = log 50`

Use the property log a^b = b*log a

=> `(9x - 3)*log 4 = log 50`

=> `9x - 3 = (log 50)/(log 4)`

=> `x = ((log 50)/(log 4) + 3)/9`

=> `x ~~ 0.6468`

The solution of the equation is `x = ((log 50)/(log 4) + 3)/9`

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