Evaluate log_8(2): animated lesson
A narrated, step-by-step logarithms video lesson with captions. Final answer: 1/3 ≈ 0.33333333.
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 (0.3 MB) · Captions (WebVTT)
Steps on screen
- 1. The problemWorked example
- 2. Step by step
- Read the expression
- Simplify exactly
- Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
- 3. The answer
log(2, 8) = 1/3 ≈ 0.33333333
- 4. Check
- Decimal value: 0.333333333333
Transcript
The problem. Here is the problem: log(2, 8). Evaluate a numerical expression.
Step by step. Read the expression. Simplify exactly. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).
The answer. So the answer is 1 over 3 approximately 0.33333333. 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: 0.333333333333.
About logarithms
Evaluate logarithms and solve logarithmic equations using the laws of logs.
More lessons like this
- Video lesson0:53AlgebraHigh school4 stepsSolve log_3(x - 4) = 2
Logarithms
- Video lesson0:53AlgebraHigh school4 stepsSolve log(4x + 1) = 2
Logarithms
- Video lesson0:53AlgebraHigh school4 stepsSolve log(x) - log(2) = 1
Logarithms
- Video lesson0:54AlgebraHigh school4 stepsSolve ln(x) + ln(x+1) = ln(6)
Logarithms
- Video lesson0:53AlgebraHigh school4 stepsSolve log_4(x) = 1/2
Logarithms
- Video lesson0:53AlgebraHigh school4 stepsSolve log(x) + log(x-3) = 1
Logarithms