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How do I solve `4 ^(9x-3) = 50`  ?

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monique06 | (Level 3) Valedictorian

Posted June 5, 2013 at 1:10 PM via web

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How do I solve `4 ^(9x-3) = 50`  ?

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mjripalda | High School Teacher | (Level 1) Senior Educator

Posted June 5, 2013 at 2:13 PM (Answer #1)

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To solve for x, take the logarithm of both sides.

`ln 4^(9x-3)=ln50`

At the left side of the equation, apply the property` ln a^m=mlna` .


Next,divide both sides by ln4.



Then, add both sides by 3.



`And, divide both sides by 9.`





Hence, the solution to the exponential equation is `x=0.6469` .

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