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ID#5127 BCS General Math Preli (46)

log√ 8 (x) = 3.1/3 হলে x এর মান কত?
ক) 32
খ)
গ) 3
ঘ) ২৪

ব্যাখ্যা

$\log_{\sqrt{8}} (x) = 3\frac{1}{3}$
$\log_{\sqrt{8}} (x) = \frac{10}{3}$
$x = (\sqrt{8})^{\frac{10}{3}}$
$x = (8^{\frac{1}{2}})^{\frac{10}{3}}$
$x = 8^{\frac{5}{3}}$
$x = (2^3)^{\frac{5}{3}}$
$x = 2^5$
$x = 32$
Resource Details
Exam BCS
Subject General Math
Chapter 14
Year 46

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