Question

Help Me PLZ
SOLVE FOR ,x
Log(x)²=(logx)²

Answer 1

Answer:

x = 1 or 100.

Step-by-step explanation:

Here,

    log(x)^2 = { log(x) }^2

⇒ 2log(x) = { log(x) }^2            { from the properties of logarithms }

Let, log(x) = a

⇒ 2a = a^2

⇒ a^2 - 2a = 0

⇒ a( a - 2 ) = 0

⇒ a = 0     or      a - 2 = 0

⇒ a = 0       or    a = 2

⇒ log(x) = 0      or    log(x) = 2

⇒ 10^0 = x       or      10^2 = x

⇒ 1 = x             or        100 = x

*Based on the assumption that base is 10.

Answer 2

2 * log (x) = log(x) ^ 2 Log(x) = 0 is root OR 2 = log(x) Then x=1 or 100

Hope it helps

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