5 to the power x-3 multiplied by 2 raised the power 2x-8 is equal to 225
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I think you did mistake in typing
question may be
5^(x -3).3^(2x -8) = 225
solution: -
5^(x -3).3^(2x -8) = 225
5^(x -3).3^(2x - 8) = (15)² = (3×5)²
5^(x -3). 3^(2x - 8) = 3² × 5²
now this is possible only when ,
5^(x -3) = 5²
(x -3) = 2
x = 5
again ,
3^(2x - 8) = 3²
(2x - 8) = 2
2x = 10
x = 5
in both terms x = 5
so, answer is x = 5
question may be
5^(x -3).3^(2x -8) = 225
solution: -
5^(x -3).3^(2x -8) = 225
5^(x -3).3^(2x - 8) = (15)² = (3×5)²
5^(x -3). 3^(2x - 8) = 3² × 5²
now this is possible only when ,
5^(x -3) = 5²
(x -3) = 2
x = 5
again ,
3^(2x - 8) = 3²
(2x - 8) = 2
2x = 10
x = 5
in both terms x = 5
so, answer is x = 5
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