Solve for x: `16^(2x-3)=8^(4x+1)`

2 Answers | Add Yours

lemjay's profile pic

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

Posted on


To solve, express both sides of the equation with same base. So factor 8 and 16.


Then, apply this property of exponents which is `(a^m)^n=a^(m*n)` .



Now that both sides have the same base, equate the exponents equal to each other.


Then, bring together the terms with x on one side of the equation.



And, bring together the terms without x on the other side of the equation.




And, isolate x.



Hence, the solution to the given equation is `x=-15/4` . 

oldnick's profile pic

oldnick | (Level 1) Valedictorian

Posted on



Using logaritms:






We’ve answered 317,914 questions. We can answer yours, too.

Ask a question