Question

Will fan and medal.

Find the value of x in the logarithm log2 x = -3.

A. 1/3
B. 3/2
C. 1/8
D. 8

Answer 1

\[\log_2(x)=3\]

Apply the log identity
\[\log_b(x) = y \iff x= b^y\]

Answer 2

Could you please just walk me through the steps because I really don;t know what I'm doing.

Answer 3

don't forget the minus sign
*\(\log_2(x)=-3\)

Answer 4

there only is two steps, the first is to apply the log identity

Answer 5

\[\log_2(x)=-3\]
raising both sides of the equation to the base of the logarithm...
\[2^{\log_2(x)}=2^{-3}\]
the left hand side simplifies
\[x=2^{-3}\]

Answer 6

now jus simplify the right hand side

Answer 7

would it be 1/8?

Answer 8

yep

Answer 9

Thank you!