Logarithms worksheet

Common and natural.

x log x ln x
.01
.1
1/e2=e-2
.2 =1/5
1/e=e-1
.5 =1/2
1
2
e
5
e2
10
20
e3
50
e4
100
e5
200
500
1000
2000
5000

For every pair of log x and ln x what is the ratio log x / ln x and ln x / log x

ln x ≈ 2.3 log x
log x ≈ 0.434 ln x
2.3 and 0.434 are reciprocals.