Difference between log x and ln x ; Natural logarithm and Common logarithm;

Common logarithms

What is Natural Logarithm?

Mantissa of a logarithm using log table

If the 4^(th) term of {sqrt(x^((1)/(1+log_(10)x)))+root(12)(x)}^(6) is equal to 200 , x gt 1 and the logarithm is common logarithm, then x is not divisible by

The species - area relationship studied by Alexander von Humboldt is a straight line on a logarithmic scale and is represented by equation Log S = Log C + Z Log A in this equation 'S' stands for :-

Illustration on Log Equations and Growth OF logarithms

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6