Complete the table with your steps in solving a problem related to relationships and friendships.

Mathematics
Complete the table with your steps in solving a problem related to relationships and friendships.

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Answer

\log 26.4 + \log 3.78 - \log 0.047

Step 1: Assume the problem is to calculate 26.4×3.780.047\frac{26.4 \times 3.78}{0.047} using the log table (typical exercise with provided table excerpt).

log⁡(26.4×3.780.047)=log⁡26.4+log⁡3.78−log⁡0.047\log\left(\frac{26.4 \times 3.78}{0.047}\right) = \log 26.4 + \log 3.78 - \log 0.047

Step 2: Find log⁡26.4\log 26.4.

From log table, row 26, column 4 gives mantissa 0.42160.4216, characteristic 11.

log⁡26.4=1.4216\log 26.4 = 1.4216

Step 3: Find log⁡3.78\log 3.78.

From log table, row 37, column 8 gives mantissa 0.57770.5777, characteristic 00.

log⁡3.78=0.5777\log 3.78 = 0.5777

Step 4: Find log⁡0.047\log 0.047.

0.047=4.7×10−20.047 = 4.7 \times 10^{-2}, log⁡4.7=0.6721\log 4.7 = 0.6721 (row 47, column 0), characteristic −2-2.

log⁡0.047=−2+0.6721=−1.3279\log 0.047 = -2 + 0.6721 = -1.3279

Step 5: Add the logs.

1.4216+0.5777−(−1.3279)=1.4216+0.5777+1.3279=3.1.4216 + 0.5777 - (-1.3279) = 1.4216 + 0.5777 + 1.3279 = 3.
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Quick Answer

Assume the problem is to calculate (26.4 × 3.78)/(0.047) using the log table (typical exercise with provided table excerpt).

Complete the table with your steps in solving a problem related to relationships and friendships.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Assume the problem is to calculate (26.4 × 3.78)/(0.047) using the log table (typical exercise with provided table excerpt). ((26.4 × 3.78)/(0.047)) = 26.4 + 3.78 - 0.047 Step 2: Find 26.4. From log table, row 26, column 4 gives mantissa 0.4216, characteristic 1. 26.4 = 1.4216 Step 3: Find 3.78. From log table, row 37, column 8 gives mantissa 0.5777, characteristic 0. 3.78 = 0.5777 Step 4: Find 0.047. 0.047 = 4.7 × 10^-2, 4.7 = 0.6721 (row 47, column 0), characteristic -2. 0.047 = -2 + 0.6721 = -1.3279 Step 5: Add the logs. 1.4216 + 0.5777 - (-1.3279) = 1.4216 + 0.5777 + 1.3279 = 3.