Evaluating logarithms without a calculator

All You Need in One Place

Everything you need for Year 6 maths and science through to Year 13 and beyond.

Learn with Confidence

We’ve mastered the national curriculum to help you secure merit and excellence marks.

Unlimited Help

The best tips, tricks, walkthroughs, and practice questions available.

0/10
?
Examples
Lessons
  1. Evaluate:
    1. log832\log_832
    2. log51\log_51
      [useful rule: logb1=0] \log_b1 = 0]
    3. log55\log_55
      [useful rule: logbb=1] \log_bb = 1]
    4. -3log161024 \log_{16}1024
    5. log3(181)\log_3 (\frac{1}{81})
    6. log2564 \log_2 {^5}\sqrt{64}
  2. A Logarithmic Expression As An Exponent
    Evaluate:
    1. 3log39{3^{log_39}}
      [useful rule: blogba=a] {b^{log_ba}} = a]
    2. 2log21024{2^{log_21024}}
  3. evaluate:
    log25125 \log_{25} \sqrt{125}
    1. without using a calculator, determine which logarithmic expression has a bigger value:
      log220 \log_220
      vs.
      log380 \log_380