Question

what is e raised to the power log x equal to

Answer 1

Step-by-step explanation:

e^logx = x

hope it helps ❤️❤️

Answer 2

Concept:

This question requires the knowledge of solving logarithms.

Natural logarithms: The natural logarithm of a number x is the logarithm to the base e, where e is the mathematical constant approximately equal to 2.718.

Also,

$log(m^{n})=n.logm$

Natural logarithm of e is 1.

$log(e)=1$

Given:

We are given the following equation

$e^{log x}$

To find:

We need to find the value of $e^{log x}$

Solution:

Let's assume,

$e^{log x}=z$        ---------------------------(1)

Now taking log on both LHS and RHS

$loge^{log x}=logz$

⇒$log (x).log(e)=log(z)$

⇒$log(x)=log(z)$

Therefore,

x=z                 ----------------------------(2)

Comparing equations (1) and (2)

$e^{logx} =x$

Hence proved.