**How Will This Worksheet on "Solve Exponential Equations Using Log" Benefit Your Student's Learning?**

- Using logs makes exponential equations simpler and easier to clear up.
- Working with logs helps students understand how logarithms function.
- This technique improves algebra talents through practicing exponent and log regulations.
- Solving these equations boosts logical questioning and careful analysis.
- Students learn to break down complex problems into simpler steps.
- Successfully solving these equations builds confidence with difficult math standards.

**How to Solve Exponential Equations Using Log?**

- Start with an equation in the form \( a^x = b \), where \( a \) and \( b \) are constants.
- Take the logarithm of both sides of the equation using a common logarithm (log base `10`) or natural logarithm `(`log base `e)`: \( \log(a^x) = \log(b) \).
- Utilize the property \( \log(a^x) = x \cdot \log(a) \) to move the exponent in front: \( x \cdot \log(a) = \log(b) \).
- Isolate the variable \( x \) by dividing both sides by \( \log(a) \): `x = \frac{\log(b)}{\log(a)}`.