What is the value of P in the following Equation ? 192.5 � 19p = 197 3.9 4.1 3.7

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Question
What is the value of P in the following Equation ? 192.5 � 19p = 197
Options
A. 3.9
B. 4.1
C. 3.7
D. 4.5

Correct Answer

4.5

Explanation

Given equation is

$19^{2.5} � 19^{p} = 19^{7}$

Here it is in the form of $a^{m} � a^{n} = a^{m + n}$

Here m = 2.5 , n = p, m+n = 7

=> 2.5 + p = 7

=> p = 7 - 2.5

=> p = 4.5

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