Answer:
2.0333
Explanation:
log 108
Express 108 in terms of 2 & 3.
108 = 2 * 2 * 3 * 3 * 3 = 2² * 3³
log 108 = log 2² * 3³ = log 2² + log 3³ [Using Product Law]
= 2log 2 + 3log 3 [Using Power Law]
Now put the values of log 2 & log 3:
2log 2 + 3log 3
= 2*0.3010 + 3*0.4771
= 0.6020 + 1.4313
= 2.0333