Final answer to the problem
$y=\frac{24}{31}$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
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1
Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
$y=\frac{2^3\cdot 2^x+2^4\cdot 2^x}{2^5\cdot 2^x- 2^{-2}\cdot 2^x}$
Learn how to solve rational equations problems step by step online.
$y=\frac{2^3\cdot 2^x+2^4\cdot 2^x}{2^5\cdot 2^x- 2^{-2}\cdot 2^x}$
Learn how to solve rational equations problems step by step online. Solve the rational equation y=(2^(x+3)+2^(x+4))/(2^(x+5)-2^(x-2)). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Combining like terms 2^3\cdot 2^x and 2^4\cdot 2^x. Add the values 1 and 2. Multiply 3 times 8.
Final answer to the problem
$y=\frac{24}{31}$
Exact Numeric Answer
$y=0.7741935$
