Logarithms and Antilogs Without a Calculator (MCAT Shortcut)

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This video walks you through my simple non-calculator approach for solving logs and antilogs without a calculator, including a shortcut for really large or really small (decimal) numbers.
Yes, even if you’re NOT given a base number

↪ Additional Links & Resources ↩

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⏱ In this video:
[0:18] Defining the Log Equation
[1:44] Solving for X as the Log Product
[2:34] Solving Logs when Base Not Given
[3:52] Solving Logs with Large Numbers
[5:00] Solving Logs with Small Numbers
[7:11] Trick for Dealing with Large or Small Numbers
[8:33] Rounding Numbers without Perfect Zeroes
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You were very useful Leah. I’m in Med School now. Thanks for all you do.

atlantic

i like to think it as log BAE, i mean log B (A) = E, where B is base, A is answer and E is exponent

ekoi

Teachers always told us to round, but they never explained the purpose. Thank you for this wisdom!

lancevercitti

I love these short cut videos! These should definitely be a playlist series of MCAT tricks!

Valeria-uzlb

Hey Leah at 6:41 in the video, can you better explain why the answer is not 10^-2. I thought this since the imaginary period is behind the 0 and needs to move two spaces to the left to create 0.1. I can see why it’s 10^-1 because in a fraction it would be 1/10 but I’m still a little confused on why we treat it as 1 x 10^-1. Btw I was at your schedule workshop and you did such an amazing job I really appreciate you helping get my study schedule together!

Ranma

I tried to find the next video you mentioned with a more accurate method for when we cannot round up or round down but I had no luck. I had a question where I was asked to find log(15) and if I was able to find that next video I'm sure it would be a huge help. Please point me in the right direction.

yonathanassefa