SOLUTION: If log 2 base 10 is equals to p, then log 12.5 base 10 is equals to?

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Question 1201726: If log 2 base 10 is equals to p, then log 12.5 base 10 is equals to?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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If log 2 base 10 is equals to p, then log 12.5 base 10 is equals to?
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Notice that  12.5 = 25%2F2 = 100%2F8.


Therefore,  log%2810%2C%2812.5%29%29 = log%2810%2C%28100%2F8%29%29 = log%2810%2C%28100%29%29 - log%2810%2C%288%29%29 = 2 - log%2810%2C%282%5E3%29%29 = 2 - 3%2Alog%2810%2C%282%29%29 = 2 - 3p.    ANSWER

Solved.

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On logarithms and their properties,  see these introductory lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Evaluate logarithms without using a calculator
    - Simplifying expressions with logarithms
    - Solving logarithmic equations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.