Question

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

Answer 1

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`