Question

Find approximate value of loge101 given
loge10= 2.3026​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Notice, lnln is a natural logarithm on base ee(an irrational number) while loglog is a common logarithm on base 10 which are correlated as follows

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Hence, lne=logee=1ln⁡e=loge⁡e=1 &

loge=log10e=1loge10=1ln10=12.303=0.434294481log⁡e=log10⁡e=1loge⁡10=1ln⁡10=12.303=0.434294481

⟹lne=logee=loge10⋅log10e=2.303log10e