Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

How do you solve logs without a calculator?

Sagot :

varshamittal029

There are logarithmic formulas and identities which can help us in solving logs without having to use a calculator.

Let us take an example and look at how the identities can be used to solve logs without the help of a calculator.

Suppose we need to find the value of log 128 to the base 8, that is -

[tex]log_{8} 128[/tex]

Now, according to a property of logs -

  • [tex]log_{a^{b}} x = 1/b( log_{a} x)[/tex]
  • [tex]log_{a} x^{b} = b(log_{a} x)[/tex]

Thus we have,

[tex]log_{8} 128[/tex] [tex]= log_{2^{3} } 2^{7}[/tex]

= [tex]7/3(log_{2 } 2)[/tex]

another property of logs is -

[tex]log_{a} a[/tex] = 1

⇒ [tex]7/3(log_{2 } 2)[/tex] = 7/ 3 × 1

= 7/3

Thus, we found out the value of a log without using a calculator. We can similarly use logarithmic properties to solve logs without using a calculator.

Learn more about logs here-

https://brainly.com/question/25710806

#SPJ4

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.