Exercise
$\frac{d^2}{dx^2}=2^{xy}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the exponential equation (d^2)/(dx^2)=2^(xy). Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 2. Rearrange the equation. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.
Solve the exponential equation (d^2)/(dx^2)=2^(xy)
Final answer to the exercise
$y=\frac{2\log_{2}\left(\frac{d}{dx}\right)}{x}$