# log1pexp > Evaluates the [natural logarithm][@stdlib/math/base/special/ln] of `1+exp(x)`.
## Usage ```javascript var log1pexp = require( '@stdlib/math/base/special/log1pexp' ); ``` #### log1pexp( x ) Evaluates the [natural logarithm][@stdlib/math/base/special/ln] of `1+exp(x)`. ```javascript var y = log1pexp( -10.0 ); // returns ~0.000045 y = log1pexp( 0.0 ); // returns ~0.693147 y = log1pexp( 5.0 ); // returns ~5.006715 y = log1pexp( 34.0 ); // returns 34.0 y = log1pexp( NaN ); // returns NaN ```
## Examples ```javascript var incrspace = require( '@stdlib/array/incrspace' ); var log1pexp = require( '@stdlib/math/base/special/log1pexp' ); var x = incrspace( -10.0, 10.0, 0.01 ); var v; var i; for ( i = 0; i < x.length; i++ ) { v = log1pexp( x[ i ] ); console.log( 'x: %d, f(x): %d', x[ i ], v ); } ```