(log10x)2 = log10x2 হলে x এর মান কত?

A 1, 0

B 1, 10

C 1, 100

D 10, 100

Solution

Correct Answer: Option C

    (log10x)2 = log10x2
বা, (log10x)2 = 2log10x
বা, (log10x)2 - 2log10x = 0
 বা, log10x (log10x - 2) = 0

হয়, log10x = 0
বা, x = 100
∴ x = 1

অথবা, 
log10x - 2 = 0
বা, log10x = 2
বা, x = 102
∴ x = 100

∴ x = 1, 100

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