MAT - Specimen Paper 1 - Q1H

Created: October 31, 2021 | Read markdown | About these notes | View in context | Study these flashcards |

Flashcards

Counting digits with logarithms

How many digits does $10^{k}$ have?

digits-of-ten-to-the-k
\[k + 1\]

How could you go about working out the leading digits of

\[3^{150}\]

?

leading-digits-via-log

Do $\log(3)$ to get something where $10^x = 3$ and then raise both sides to the power of $150$.



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