What the answer don’t do explaining just say the

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savannnab1890

05.06.2020

Mathematics

i think it is 0.5

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savingmayo

03.03.2020

Mathematics

Answer is (1/2)y - (1/2)x======x = log 3 and y = log 21note that 21 factors into 3 and 7 so y = log 21 y = log(7 · 3)use log law that says $\log_b(xy) = \log_b(x) + \log_b(y)$ y = log(7) + log(3)and since x = log(3): y = log(7) + xsolve for log(7) to get log 7 = y - xnow focusing on $\log \sqrt{7}$ use log law $\log_b(m^n) = n \log_b(m)$ with $\sqrt{7} = 7^{\frac{1}{2}}$ $\begin{aligned} \log\sqrt{7} & = \log 7^{\frac{1}{2} } \\ & = \tfrac{1}{2} \log 7 \end{aligned}$ since log 7 = y - x $\begin{aligned} \log\sqrt{7} & = \tfrac{1}{2} \log 7 \\ & = \tfrac{1}{2}(y - x) \\ & = \tfrac{1}{2}y - \tfrac{1}{2}x \end{aligned}$

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What the answer don’t do explaining just say the answer

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