Problem

Use a calculator to find approximations of the common logarithms.
(a) $\log (714.1)$
(b) $\log (71.41)$
(c) $\log (7.141)$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: (c) \(\log (7.141) \approx \boxed{0.854}\)

Steps

Step 1 :The common logarithm of a number is the power to which the number 10 must be raised to obtain that number. In other words, if \(y = \log_{10}(x)\), then \(10^y = x\).

Step 2 :Use a calculator to find approximations of the common logarithms.

Step 3 :\(\log (714.1)\) is approximately 2.853759033074769

Step 4 :\(\log (71.41)\) is approximately 1.8537590330747686

Step 5 :\(\log (7.141)\) is approximately 0.8537590330747687

Step 6 :Final Answer: (a) \(\log (714.1) \approx \boxed{2.854}\)

Step 7 :Final Answer: (b) \(\log (71.41) \approx \boxed{1.854}\)

Step 8 :Final Answer: (c) \(\log (7.141) \approx \boxed{0.854}\)

link_gpt