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Solution assignment 03 Exponential equations

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Assignment 3

Solve:

5^{x}\cdot5^{2x+3}=125

Solution

We rewrite the left- and right-hand side:

5^{x}\cdot5^{2x+3}=5^{3x+3}

125=5^3

and thus the equation becomes:

5^{3x+3}=5^3

and thus:

3x+3=3

x=0

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