Question

why is ln multiplied by 2.303 to get log?

Answer 1

Answer:

Log is commonly represented in base-10 whereas natural log or Ln is represented in base e. Now e has a value of 2.71828. So e raised to the power of 2.303 equals 10 ie 2.71828 raised to the power of 2.303 equals 10 and hence ln 10 equals 2.303 and so we multiply 2.303 to convert ln to log.

Answer 2

Answer:

Because $2.71828^{2.303}$ =$e^{2.303}$ =10.

Step-by-step explanation:

$log_{10}$ is commonly represented in base-10 whereas natural log or Ln is represented in base e.

e=2.71828.

So now,

$e^{2.303}$=$2.71828^{2.303}$=10

∴e raised to the power of 2.303 is equal to  10

Hence,  $ln_{10}$(x)  equals 2.303 and so we multiply 2.303 to convert ln to $log_{e}$(x) OR ln(x) OR log(x).