Query - Most textbooks in calculus and the sciences, as well as calculators, use the notation lnx for the natural logarithm and log10x for the “common logarithm,” \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\) In the more advanced mathematical and scientific literature and in
computer languages, however, the notation lnx usually denotes the natural logarithm.

Answer- The natural logarithm is denoted by logex and the value of this expression is greater than \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\).

Explanation- The natural logarithm which is represented by \(\displaystyle{{\log}_{{{e}}}{\left\lbrace{x}\right\rbrace}}\) or lnx is basically used for scientific purpose but the expression log10x is used for simple numerical calculation.

It is possible for Maths for Science to discuss all the mathematical expression that represent a big algebraic calculation, in that case we use \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\) and for integration in calculus , we use the expression lnx.

Answer- Basically, he natural logarithm which is represented by logex or lnx is basically used for scientific purpose but the expression \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\) is used for simple numerical calculation.

Answer- The natural logarithm is denoted by logex and the value of this expression is greater than \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\).

Explanation- The natural logarithm which is represented by \(\displaystyle{{\log}_{{{e}}}{\left\lbrace{x}\right\rbrace}}\) or lnx is basically used for scientific purpose but the expression log10x is used for simple numerical calculation.

It is possible for Maths for Science to discuss all the mathematical expression that represent a big algebraic calculation, in that case we use \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\) and for integration in calculus , we use the expression lnx.

Answer- Basically, he natural logarithm which is represented by logex or lnx is basically used for scientific purpose but the expression \(\displaystyle{{\log}_{{{10}}}{\left\lbrace{x}\right\rbrace}}\) is used for simple numerical calculation.