Question

prove the following (i) log 4 base 10 ÷ log 2 base 10 = log 9 base 3​

Answer 1

Answer:

Refer to the following solution:

Step-by-step explanation:

$left \: hand \:side \\ = log_{10}(4) \div log_{10}(2) \\ = log_{10}( {2}^{2} ) \div log_{10}(2) \\ = 2 log_{10}(2) \div log_{10}(2) \\ = 2. \\ right \: hand \: side \\ = log_{3}(9) \\ = log_{3}( {3}^{2} ) \\ = 2 log_{3}(3) = 2.$

Therefore, LHS= RHS(proved)

Answer 2

Answer:

Step-by-step explanation: