The value of log 2 ⁡ 9 2 1 log 2 ⁡ log 2 ⁡ 9 × 7 1 log 4 ⁡ 7 is_____.

Step-by-step solution

log 2 ⁡ 9 2 log 2 ⁡ log 2 ⁡ 9 × 7 1 2 log 4 ⁡ 7 = ( log 2 9 ) 2 log ( log 2 9 ) 2 × 7 1 2 log 7 4 = ( log 2 9 ) log ( log 2 9 ) 2 2 × 7 log 7 4 1 2 = 2 2 × 4 1 2 = 4 × 2 = 8