The given equation is:

\[
y = 182x 2^{1.4t}
\]

This equation represents an **exponential relationship** because the variable \( t \) is in the exponent. To find a **linear relationship**, we typically linearize the equation, which can be done by taking the logarithm of both sides.

### Step-by-Step Process to Linearize:

1. **Original equation:**
   \[
   y = 182x 2^{1.4t}
   \]

2. **Take the natural logarithm (\( \ln \)) of both sides:**
   \[
   \ln(y) = \ln(182x 2^{1.4t})
   \]

3. **Use the logarithmic properties:**
   - \( \ln(a \cdot b)

Discover how to linearize the exponential equation y = 182x 2^1.4t by using logarithmic properties. Learn step-by-step how to transform this exponential relationship into a linear form, suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation