Log log with root 2 as base, logarithm of root 3 × log with root 3 as base, logarithm of root 4 × logarithm of root 7 as base, logarithm of root 8 =? There are many more questions Wood has a log

Log log with root 2 as base, logarithm of root 3 × log with root 3 as base, logarithm of root 4 × logarithm of root 7 as base, logarithm of root 8 =? There are many more questions Wood has a log

By using the formula of changing the bottom
=LG root 3 / LG root 2 * LG root 4 / LG root 3 *... LG root 8 / LG root 7
=LG root 8 / LG root 2
=lg8/lg2
=3