Reason:
According to the nature of logarithm?
Ln(a*b)=lna+lnb and ln (a b) = blna:
ln4
=ln(2*2)
=ln2+ln2
=2ln2
Therefore, 2ln2=ln4 holds.
Logarithm based on constant e. Write lnn (n >; 0)。 It is of great significance in physics, biology and other natural sciences. The general representation is lnx.
Extended data:
Logarithmic algorithm
1, the logarithm of the product of two positive numbers is equal to the sum of the logarithms of these two numbers with the same radix, that is
log(a) (M N)=log(a) M+log(a) N
2. The logarithm of the quotient of two positive numbers is equal to the difference between the logarithm of the dividend at the same base and the logarithm of the divisor, that is
Logarithm (a)(M÷N)= Logarithm (a)M- Logarithm (a) N
3. The logarithm of a positive power is equal to the logarithm of the base of the power multiplied by the exponent of the power, i.e.
Logarithm (m n = nlog (a) meters