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Given f(x)=ln x, evaluate
a) f (e⁴)
b) f (e ㏑ 5)
c) f (e³ ㏑ 5)

Given Fxln X Evaluate A F E B F E 5 C F E 5 class=

Sagot :

The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

What is the natural logarithm?

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given,

f(x) = ln x,

a) f(e⁴)

f(e⁴) = In(e⁴)

= 4In(e)

= 4 * 1

f(e⁴) = 4

b) f(e ㏑ 5)

= f(e⁻⁵)

= [tex]f(e^{\frac{1}{5} })[/tex]

= In(1) - In(e⁵)

= 0 - 5In(e)

= 5*1

f(e ㏑ 5) = 5

c) f(e³ ㏑ 5)

[tex]= f(e^{\frac{3}{5} })[/tex]

=  In(3) - In(e⁵)

= ln(3) - ln(5)

f(e³ ㏑ 5) = -0.5108

Hence, The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

To learn more about the natural logarithm visit,

https://brainly.com/question/305900

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