Doing 'log' maths without a log function

This seems to work pretty close to what the table shows

void setup() {

double Alt;
double PF= 450;
double PS=1013;
double div = -6.8755856E-6;
Serial.begin(9600); 
  
  double param, result;
  param = log10 (PF/PS);
  result = pow(10,param/5.255856)-1 ;
  Alt = result/div;
  Serial.println (Alt );

}

void loop() {

  //do nothing
  
}