## Algebra and Trigonometry 10th Edition

$\log_7\sqrt {70}={\frac{1}{2}}+\log_7\sqrt {10}\ne\log_735$
$\log_7\sqrt {70}=\log_77^{\frac{1}{2}}10^{\frac{1}{2}}=\log_77^{\frac{1}{2}}+\log_710^{\frac{1}{2}}={\frac{1}{2}}+\log_7\sqrt {10}$ $\sqrt {70}\ne35$. So, due to One-to-One Property: $\log_7\sqrt {70}\ne\log_735$