Vault Of Euclid

Simplifying the Natural Logarithm of a Unit Fraction

Logarithmic and exponential functions warmup

\( \ln \frac{1}{5} \)
logarithmsnatural-logarithmproperties-of-logarithmssimplificationpower-rule-for-logarithmsquotient-rule-for-logarithmstranscendental-functionsprecalculusalgebraexponent-rulesnegative-exponentsevaluate-expression

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

What this problem tests

Tests the ability to apply exponent rules and logarithm properties to simplify expressions.

This is a fundamental algebra and precalculus drill, ensuring familiarity with logarithm properties before they are used in calculus operations like differentiation and integration.

More on Logarithmic and exponential functions

← today's set