Question

How do you write an equivalent exponential equation \[\ell n = 0\]?

Answer 1

Hint:
The given question is to simplify the given expression which consists of logarithmic and exponential. Logrhythm Is nothing but the exponent or power to which a base must be raised to yield A given number. the given expression consists of logarithmic and exponential functions and we have to simplify that.

Complete Step by step Solution:
 The given question is about the logarithmic and exponential functions. The logarithmic function is the function In which power or exponent to which the base must be raised to get the given number and the exponential function is the antilog.
Logarithmic functions Are the inverse of the antilog and exponential function who is the antilog. Therefore logarithmic function and the exponential function are inverse of each other and get canceled out with each end we are left with the power or exponent which also becomes base after the cancellation of logarithm and exponential with each other.
The question asked is how can we write an equivalent exponential equation of… Space space space. Since the question is in the form of the logarithm. But we want to know that what is the equivalent exponential equation of this means We have to convert the logarithm in the function of exponential and after using the values of logarithm and exponential we get our required equivalent exponential equation.
Given
Taking exponential in both sides because we want the equation in exponent
\[\ell {n_e}1 = e(0)\]
Since logarithm and exponential are inverses of each other. Therefore above equation becomes
\[1 = e(0)\] or \[e(0) = 1\]
which means \[{e^0} = 1\]
Which is the required equivalent exponential equation of the given function in log rhythmic.

Note:
In the given question we had to find out the value of the expression which is the function of Logarithmic and exponent. Logarithmic is the inverse of exponential function an exponential function is a function which is known as antilog. Since antilog and log or exponent and logarithm are inverse of each other and hence they go to cancel with each other and we are left with the exponent or power only in the base.