How do you solve $e^{x} = 0$ ?

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4 x

5 x

e^{x} = 0

e = 0

answer is C.

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Detailed Solution

In this particular sum, we will be using the property

\log a^{b} = b \log a

.
Let us take

logs

on both sides in the sum

\log (e^{x}) = \log 0

— (|)
Utilising the property of

Logs - \log a^{b} = b \log a

, we have

x \log (e) = \log 0

— (||)
We have made no assumptions regarding the base of the logarithm.
∴ Using base

e

logarithms

x lo g_{e} e = \log 0

— (|||)
As we know that there is no such value which satisfies this equation . We can say that the answer to this particular sum is not defined.
Therefore, value of

x

is not defined for the equation

e^{x} = 0

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