Question

solve 10 power x+2 -10 power x =9900 for x​

Answer 1

Answer:

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$10^{x + 2} - 10^{x} = 9900$

$=> 10^{x} \times 10^{2} - 10^{x} = 9900$

$= > 10^{x}(10 {}^{2} - 1) = 9900$

$= > \: 10 {}^{x} \: \times 99 = 9900$

$10 {}^{x} = 100$

$10 {}^{x} \: = 10 {}^{2}$

$x = 2$