javascript - Find n logarithmic intervals between two end points -

i trying find n logarithmic intervals between 2 numbers.

eg: function logdiv (10, 10000, 3) 10 starting point, 10000 ending point, , 3 number of intervals, following output: (* {10, 100, 1000, 10000} *)

what have tried:

function loginterval(total_intervals, start, end) {    var index, interval, result = [];     (index = 0; index < total_intervals; index++) {       interval = (index/total_intervals * math.log((end - start) + 1) - 1 + start);         result.push(interval);     }     return result; } var intervals = loginterval(5, 1, 500); 

https://jsfiddle.net/qxqxwo3z/

this based on (poor) understanding of following solution found in stack exchange mathematica:

logspace [increments_, start_, end_] := module[{a}, (    = range[0, increments];    exp[a/increments*log[(end - start) + 1]] - 1 + start )] 

https://mathematica.stackexchange.com/questions/13226/how-can-i-get-exactly-5-logarithmic-divisions-of-an-interval

please can me this? not necessary follow of above attempts, explaining tried.

the best way start logarithmic difference of end value , start value, divided intervals.

x = (math.log(end) - math.log(start)) / total_intervals; 

for factor, need reverse operation

factor = math.exp(x); 

for getting array can multiply start value factor , insert array. next value last value multiplied factor, until items generated.

function loginterval(total_intervals, start, end) {      var x = (math.log(end) - math.log(start)) / total_intervals,          factor = math.exp(x),          result = [start],          i;        (i = 1; < total_intervals; i++) {          result.push(result[result.length - 1] * factor);      }      result.push(end);      return result;  }    console.log(loginterval(3, 10, 10000));  console.log(loginterval(5, 1, 500));  console.log(loginterval(12, 220, 440)); // frequencies