Question
Asked Oct 9, 2019
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Express the function f(x)=g(x)^h(x) in terms of natural logerithmic and natural exponential functions (base e)

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Expert Answer

Step 1

Given exponential form is :

We need to represent t in terms of natural logerithmic and natural exponential functions (base e).

f(x)= g(x))
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f(x)= g(x))

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Step 2

Firstly write the given exponential form into the natural logarithm form(base e).

Take both the side log with base e.

f(x)= g(x))
log,(f(x))-log, (g(x)c9)
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f(x)= g(x)) log,(f(x))-log, (g(x)c9)

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Step 3

log base e is also called ln

We have a property of logarithm, that is Exponent property of lo...

log, a In a
In a bln a
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log, a In a In a bln a

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Tagged in

Math

Calculus

Functions