How do I solve `4 ^(9x-3) = 50`  ?

1 Answer

lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on


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` .