Find n if lo\(g_2\) 4 + lo\(g_2\) 7 - lo\(g_2\) n = 1
A
10
B
14
C
27
D
28
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
log\(_2\) 4 + log\(_2\) 7 - log\(_2\) n = 1
= log\(_2\) (4 x 7) - log\(_2\) n = 1
\(\therefore\) log\(_2\) 28 - log\(_2\) n = 1
= \(\frac{28}{n} = 2^1\)
\(\frac{28}{n}\) = 2
2n = 28
∴ n = 14
Source: Myschool Past Questions Archive (Record #32041)