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Calculate the power $\sqrt{8}$
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$\log_{2\sqrt{2}}\left(\sqrt{128}\right)=x$
Learn how to solve problems step by step online. Solve the logarithmic equation log8^0.5(128^0.5)=x. Calculate the power \sqrt{8}. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Evaluating the logarithm of base 2\sqrt{2} of 128. Multiply \frac{1}{2} times \frac{14}{3}.