- #1

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- Homework Statement:
- Solve the equation: (2x+5)^(x+1)=729

- Relevant Equations:
- (2x+5)^(x+1)=729

**Homework Statement:**Solve the equation: (2x+5)^(x+1)=729

**Homework Equations:**(2x+5)^(x+1)=729

Here's my work:

(2x+5)^(x+1)=729

x+1=ln(729)/ln(2x+5)

x+1=ln(729/(2x+5))

e^(x+1)=e^ln(729/(2x+5))

e^(x+1)=729/(2x+5)

From here, I don't know what to do. All I know is that the answer is x=2. But I don't know how to get there. Can someone please help me?