If 16^x = 1/64 find the value of x.

Jeremy Matt asked Aug 19, 2023

523,642 views

0 votes

Jeremy Matt asked Aug 19, 2023

2.7k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

12 votes

Answer:

x = -
(3)/(2)

Explanation:

16^(x) =
(1)/(64) , that is

(4^2)^(x) =
(1)/(4^3)

4^(2x) =
4^(-3)

since bases on both sides are equal , both 4 then equate exponents

2x = - 3 ( divide both sides by 2 )

x = -
(3)/(2)

2.4k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers