Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

The value of the expression in the logarithmic equation is equivalent to (ln 55=a).

A log function is a way to find how much a number must be raised in order to get the desired number.

can be written as

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.

We solve the value of this expression using the basic logarithm,

Similarly,

we know that the log base of exponent is natural log, therefore,

Therefore, the value of the expression in the logarithmic equation is equivalent to (ln 55=a).

Learn more about Logarithm:

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The answer is B.

e^a=55

Taking log on both sides,

lne^a = ln 55

a lne= ln55

a= ln55.