Solve the following exponential equation: `3^(2x+1)=243` .

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The exponential equation `3^(2x+1)=243` has to be solved

`3^(2x+1)=243`

=> `3^(2x + 1) = 3^5`

As the base is the same equate the exponent

2x + 1 = 5

=> 2x = 4

=> x = 2

The solution of the equation is x = 2

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