Homework Help

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

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connorcolin3 | (Level 1) Valedictorian

Posted May 9, 2013 at 11:54 PM via web

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Solve for x:


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oldnick | (Level 1) Valedictorian

Posted May 10, 2013 at 12:18 AM (Answer #1)

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Using logaritms:






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

Posted May 10, 2013 at 12:19 AM (Answer #2)

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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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