Task: 1) translate the rules from the table into the triangle notation and explain why the translation is such. 2) Solve using the new notation the following examples -> Express x from 3^x=15 -> Express x from 6^(x-4)=25 -> Express y from (5^y)/(4^y)=33 -> Express n from (2^n)*(3^n)=(123^n) table: Rule of Logarithms cueman THE MATH EXPER Rule Name Property Log of 1 log, 1 = 0 Log of the same log, b = 1 number as base Product Rule triangle notation: log, (mn) = log,m + login Triangle of Power Co Quotient Rule log,/m)= log,m - log,n Power Rule log, m" = n log,m Change of Base log, b = = log b 2 2 8 8 Rule log a (OR) log b . log a = log b 93 log2 (8 3/8 Equality Rule log a = logic => a = c Number Raised blogb* = X to Log Other Rules lognam = + log, a -log,a = log a (OR) = log] a