Question

Log2(16) can be written in the exponential form A∧b=c

What is A+B+C?

A)12
B)20
C)24
D)10
E)30
F)22

Answer 1

Answer:-

$We \: know \: that ,\: If \: {a}^{x} = N \\ then \: x = log_{a}(N) \\ \\ log_{2}(16) = x \\\\ Here, a = 2 ,\: N = 16. \\ \\ Hence \: {2}^{x} = 16 \\ \\ {2}^{x} = {2}^{4} \\ \\ Here \: bases \: are \: equal ,\:\\\\ then \: the \: powers \: are \: also \: equal.$.

Therefore, x = 4.

According to the question , a = A ; x = B ; N = C.

A = 2 ; B = 4 ; C = 16

A + B + C = 2 + 4 + 16

A + B + C = 22.

Hence, the value of A+B+C = 22(F).