Question

How do you solve the equation `log_2x=-3`?

Answer 1

`color(purple)(x = 1/8 = 0.125`

Explanation:

![https://mathsmethods.com.au/vce-maths-methods-lessons-cheatsheets/vce-maths-methods-logrithm-laws/]() From the above table,

`log_a m = n, " then " m = a^n`

Given : `log _2 x = -3`

`:. x = 2^(-3) = 1/2^3 = 1/8 = 0.125`