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Leya [2.2K]
3 years ago
15

5^2x * 5^3 =5^9 what is x please help

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

{5}^{2x}  \ast {5}^{3}  =  {5}^{9}  \\  {5}^{2x + 3}  =  {5}^{9}  \\ 2x + 3 = 9 \\ (bases \: are \: equal \: so \: exponents \: will \: also \: \\  be \: equal) \\ 2x = 9 - 3 \\ 2x = 6 \\ x =  \frac{6}{2}  \\  \huge \red { \boxed{x = 3}}

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