The value of the expression [tex]e^a = 55[/tex] in the logarithmic equation is equivalent to (ln 55=a).
What is Logarithm?
A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
What is the value of [tex]e^a = 55[/tex]?
We solve the value of this expression using the basic logarithm,
[tex]\rm{log_ab=c[/tex]
Similarly,
[tex]\rm{log_e55=a[/tex]
we know that the log base of exponent is natural log, therefore,
[tex]\rm ln\ 55=a[/tex]
Therefore, the value of the expression [tex]e^a = 55[/tex] in the logarithmic equation is equivalent to (ln 55=a).
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