Question

Find the value of b when 8 ^ b = 2​

Answer 1

Answer:

8^b = 2

(2³)^b =2

2^3b=2

on comparing exponents

3b=1

b=1/3

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Answer 2

Answer:

The value of b is 1 / 3

Step-by-step explanation:

$8^{b}$ = 2                              (  we can write, 8= 2× 2×2=$2^{3}$)

$2^{3^{b} }$ =2                          (as we know, $a^{m^{(n)} }$ = $a^{mn}$ )

Similarly,$2^{3b}$ =$2^{1}$

Comparing both sides,

3b = 1

b= 1 / 3