Which of the following is the value of log 88

Question

, if log 8 ≈ 0.9031 and log 11 ≈ 1.0414
(1 point)
Responses

log 88 ≈ 0.9405
log 88 ≈ 0.9405

log 88 ≈ 0.1383
log 88 ≈ 0.1383

log 88 ≈ 1.9445
log 88 ≈ 1.9445

log 88 ≈ 1.1531

Answer 1

To find the value of \(\log 88\), we can use the properties of logarithms:

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

Given:

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

Now, we can substitute these values into the equation:

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

Calculating this gives:

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

Therefore, the correct response is:

\(\log 88 \approx 1.9445\)