35. log, 0.04

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Log v b (0.04) 

log v b 2= 0.3562

log v b 3= 0.5646

log v b 5= 0.8271

 

not sure got to get the answer for #35

**CENGAGE | MINDTAP**

**3: Exponential and Logarithmic Functions**

---

**Using Properties of Logarithms**

In Exercises 33, 34, 35, 36, 37, 38, 39, and 40, approximate the logarithm using the properties of logarithms, given:

- \(\log_b 2 \approx 0.3562\)
- \(\log_b 3 \approx 0.5646\)
- \(\log_b 5 \approx 0.8271\)

---

**32. \(\log_b 16\)**

**33. \(\log_b 10\)**

**Answer**

1.1833
Transcribed Image Text:**CENGAGE | MINDTAP** **3: Exponential and Logarithmic Functions** --- **Using Properties of Logarithms** In Exercises 33, 34, 35, 36, 37, 38, 39, and 40, approximate the logarithm using the properties of logarithms, given: - \(\log_b 2 \approx 0.3562\) - \(\log_b 3 \approx 0.5646\) - \(\log_b 5 \approx 0.8271\) --- **32. \(\log_b 16\)** **33. \(\log_b 10\)** **Answer** 1.1833
The image shows a mathematical problem from an educational setting.

**Problem:**
\[ 35. \log_b 0.04 \]

**Answer:**
\[ -1.6542 \]

This problem involves finding the logarithm of 0.04 with an unspecified base \( b \). The provided solution indicates the logarithmic value is approximately \(-1.6542\). This thumbnail also includes a cursor, suggesting an interactive component on a website, possibly indicating where the answer can be entered or revealed.
Transcribed Image Text:The image shows a mathematical problem from an educational setting. **Problem:** \[ 35. \log_b 0.04 \] **Answer:** \[ -1.6542 \] This problem involves finding the logarithm of 0.04 with an unspecified base \( b \). The provided solution indicates the logarithmic value is approximately \(-1.6542\). This thumbnail also includes a cursor, suggesting an interactive component on a website, possibly indicating where the answer can be entered or revealed.
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