Evaluate ln(sqrt(e)): animated lesson
A narrated, step-by-step logarithms video lesson with captions. Final answer: 1/2 ≈ 0.5.
Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.
Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)
Steps on screen
- 1. The problemWorked example
- 2. Step by step
- Read the expression
- Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
- 3. The answer
ln(sqrt(e)) = 1/2 ≈ 0.5
- 4. Check
- Decimal value: 0.5
Transcript
The problem. Here is the problem: ln(sqrt(e)). Evaluate a numerical expression.
Step by step. Read the expression. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).
The answer. So the answer is 1 over 2 approximately 0.5. Operations are applied in the standard order: parentheses, exponents, multiplication and division from left to right, then addition and subtraction from left to right.
Check. Decimal value: 0.5.
About logarithms
Evaluate logarithms and solve logarithmic equations using the laws of logs.
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