Question

Which of the following is the value of log88 , if log8≈0.9031 and log11≈1.0414 ?(1 point) Responses log88≈1.1531 log 88 almost equal to 1 point 1 5 3 1 log88≈0.9405 log 88 almost equal to 0 point 9 4 0 5 log88≈1.9445 log 88 almost equal to 1 point 9 4 4 5 log88≈0.1383 log 88 almost equal to 0 point 1 3 8 3

Answer 1

To find the value of \(\log 88\) using the given values of \(\log 8\) and \(\log 11\), we can use the property of logarithms that states:

\[ \log(ab) = \log a + \log b \]

Thus, we can express \(\log 88\) as follows:

\[ \log 88 = \log(8 \times 11) = \log 8 + \log 11 \]

Given:

• \(\log 8 \approx 0.9031\)
• \(\log 11 \approx 1.0414\)

Now, we can calculate:

\[ \log 88 \approx 0.9031 + 1.0414 = 1.9445 \]

Therefore, the value of \(\log 88\) is approximately \(1.9445\).

Among the provided options, the closest match is:

\(\log 88 \approx 1.9445\)

So the final answer is:

\(\log 88 \approx 1.9445\)