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justaguide eNotes educator| Certified Educator

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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