Question

(53^9)−(53^8)/52=(53)^x then 3x equals

Answer 1

Answer:

3x = 3

Step-by-step explanation:

Answer 2

$Given \: \frac{(53^{9}) - (53^{8})}{52} = (53)^{x}$

$\implies \frac{(53^{8}\times 53) - (53^{8})}{52} = (53)^{x}$

$\implies \frac{53^{8}(53 - 1)}{52} = (53)^{x}$

$\implies \frac{53^{8}(52)}{52} = (53)^{x}$

$\implies 53^{8} = 53^{x}$

$\implies 8 = x$

$\boxed { \pink { Since, If \:a^m = a^n \implies m = n }}$

$Now, Value \:of \: 3x = 3\times 8 \\= 24$

Therefore.,

$\red { Value \:of \: 3x } \green { = 24 }$

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