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



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oldnick's profile pic

Posted on (Answer #1)



Using logaritms:






mjripalda's profile pic

Posted on (Answer #2)


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` . 

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