Simplify : 2 log - log + 3 log

Question

KnowledgeBoat · Accepted Answer

2 log - log + 3 log = 2 (log 15 - log 8) - (log 25 - log 162) + 3 (log 4 - log 9) = 2 log 15 - 2 log 8 - log 25 + log 162 + 3 log 4 - 3 log 9 = 2 log (3 x 5) - 2 log - log + log (81 x 2) + 3 log - 3 log = 2 log 3 + 2 log 5 - 6 log 2 - 2 log 5 + log + log 2 + 6 log 2 - 6 log 3 = 2 log 3 + 2 log 5 - 6 log 2 - 2 log 5 + 4 log 3 + log 2 + 6 log 2 - 6 log 3 = (2 + 4 - 6)log 3 + (2 - 2)log 5 + (-6 + 1 + 6)log 2 = log 2 Hence, the value of 2 log - log + 3 log = log 2.

Mathematics

Simplify : 2 log - log + 3 log

Logarithms

Related Questions

Find x, if :
2 + log x = log 45 - log 2 + log 16 - 2 log 3.

Mathematics

Simplify : 2 log - log + 3 log

Logarithms

Related Questions

Find x, if :2 + log x = log 45 - log 2 + log 16 - 2 log 3.

Find x, if :
2 + log x = log 45 - log 2 + log 16 - 2 log 3.