Solve for $$ x $$ in the following equation. Express your answer to three significant figures. $$ 0.912=\ln \left(x^{3.00}\right) $$

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To solve the equation $$ 0.912 = \ln \left(x^{3.00}\right) $$ for $$ x $$, follow these steps:

1. **Simplify the Equation:**
   $$
   0.912 = \ln(x^3)
   $$
   
   Using the logarithm power rule $$ \ln(x^n) = n \ln(x) $$:
   $$
   0.912 = 3 \ln(x)
   $$
   
2. **Isolate $$ \ln(x) $$:**
   $$
   \ln(x) = \frac{0.912}{3} = 0.304
   $$
   
3. **Exponentiate Both Sides to Solve for $$ x $$:**
   $$
   x = e^{0.304}
   $$
   
4. **Calculate $$ e^{0.304} $$:**
   - Using a calculator or series expansion:
     $$
     e^{0.304} \approx 1.355
     $$
   
5. **Express to Three Significant Figures:**
   $$
   x \approx 1.36
   $$

**Final Answer:**  
$$ x \approx 1.36 $$
$$ x \approx 1.36 $$

Solve for in the following equation. Express your answer to three significant figures.

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