Here is the list of mathematical exercises on the neperian logarithm available online. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

8 exercises

Exercise example N°1709 :

Express ln(25) as a function of ln(5) .

neperian logarithm functions 12th Grade

The purpose of this corrected exercise is to simplify a neperian logarithm containing a power.

Exercise example N°1710 :

Express `ln(1/27)` as a function of ln(3)

neperian logarithm functions 12th Grade

The goal of this corrected exercise is to simplify a neperian logarithm containing a quotient.

Exercise example N°1711 :

Express `-3/8*ln(1/(27))` as a function of ln(3)

neperian logarithm functions 12th Grade

The goal of this corrected exercise is to simplify the product of a fraction and a neperian logarithm containing a quotient.

Exercise example N°1712 :

Express `-5/8*ln(sqrt(2))` as a function of ln(2)

neperian logarithm functions 12th Grade

The aim of this corrected exercise is to simplify the neperian logarithm of a square root.

Exercise example N°1713 :

Compute an antiderivative of the function `f(x)=7/(9+7*x)` on `RR^+` .

neperian logarithm antiderivatives functions 12th Grade antiderivative

The aim of this corrected exercise is to use the neperian logarithm to calculate one of the primitives of a rational fraction of the first degree.

Exercise example N°1714 :

Compute an antiderivative of the function `f(x)=(8*x)/(1+4*x^2)` on `RR^+` .

neperian logarithm antiderivatives functions 12th Grade antiderivative

The goal of this corrected exercise is to use the neperian logarithm for antiderivative calculation of a rational fraction of degree 2.

Exercise example N°1715 :

Calculate the derivative of the function `ln(x)^5`.

neperian logarithm derivatives of functions functions 12th Grade derivative

The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.

Exercise example N°1716 :

Calculate the derivative of the function `ln(9+9*x^2)`.

neperian logarithm derivatives of functions functions 12th Grade derivative

The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.