How do I solve `4 ^(9x-3) = 50`  ?

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lemjay | High School Teacher | (Level 2) Senior Educator

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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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