Question

Express the equation in logarithmic form:

(a) e = 2 is equivalent to In A = B. Then
A =
and
B=
(b) e²
C =
and
D=
= x is equivalent to In C = D. Then

Answer 1

The equations are expressed in logarithmic form by finding the base e and the exponent. For the first equation, ln A = B, A is equal to e and B is equal to 1. For the second equation ln C = D, C is equal to e squared and D is equal to 2.

Step-by-step explanation:

Expressing the given equations in logarithmic form entails identifying the base and exponent in the exponential equation and rephrasing it into a logarithmic equation where the logarithm of a number equals the power needed to raise the base to that number.

(a) The equation e = A is expressed in logarithmic form as ln A = B. Here, A equals the base of the natural logarithm which is e, so A = e, and B is the exponent to which e must be raised to get A, so B = 1 because eto the power of 1 is e.

(b) Similarly, for the equation e² = C the logarithmic form would be ln C = D. In this case, C equals esquared, so C = e², and D equals 2 because e raised to the power of 2 is e².