find the value of \($\log_2{3} \cdot \log_3{4} \cdot \log_4{5} \cdot \log_5{6} \cdot \log_6{7} \cdot \log_7{8}$\)
+122 \(\log _2\left(3\right)\log _3\left(4\right)\log _4\left(5\right)\log _5\left(6\right)\log _6\left(7\right)\log _7\left(8\right)=\boxed3\)
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