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Help! <3Select all of the potential solution(s) of the equation 2log5x = log54.

Help! <3Select all of the potential solution(s) of the equation 2log5x = log54.-example-1

1 Answer

7 votes

Answer:

x = 2

Explanation:


2log_5 x = log_5 4 \\ \\ log_5 {x}^(2) = log_5 4 \\ \\ \implies \: {x}^(2) = 4 \\ \\ \implies \: x = \pm √(4) \\ \\ \implies \: x = \pm 2 \\ \\ x = - 2, \: \: x = 2

Since, anti-logarithm must be greater than zero.


\therefore x\\eq - 2


\implies x = 2

User MLar
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