Question

Write the given statement in an equivalent exponential form. log 2 16 = 8 The equivalent exponential form of the given statement is (Type your answer using exponential notation. Do not simplify.)

Answer 1

Log(√2)16=8

Logb(x)=y

In exponential form

b^y=x

b=√2

x=16

y=8

(√2)^8=16

$(\sqrt{2})^{8}=16$

Answer 2

SOLUTION :

log√2 (16) = 8 

Raise both sides to the base √2 :

=> √2 ^(log√2 (16))  = (√2)^8 

=> 16 = ((2)^(1/2))^8 

=> 16 = 2^(8/2)

=> 16 = 2^4

=> 2^4 = 16 (ANSWER.