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Solve for x: `16^(2x-3)=8^(4x+1)`
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Posted by oldnick on May 10, 2013 at 12:18 AM (Answer #1)
High School Teacher
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` .
Posted by mjripalda on May 10, 2013 at 12:19 AM (Answer #2)
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