Final answer to the problem
$x^x+2^x-\frac{1}{2}\ln\left(e^{2x}+2e^x+e^{\left(\sqrt{x}\right)}\right)$
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Step-by-step Solution
Learn how to solve properties of logarithms problems step by step online. Simplify x^x+2^x-ln((e^(2x)+2e^xe^x^(1/2))^(1/2)) applying logarithm properties. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Multiply the fraction and term in - \left(\frac{1}{2}\right)\ln\left(e^{2x}+2e^x+e^{\left(\sqrt{x}\right)}\right).
Final answer to the problem
$x^x+2^x-\frac{1}{2}\ln\left(e^{2x}+2e^x+e^{\left(\sqrt{x}\right)}\right)$
