Question

If log, 4
=
-1/3 then x =
​

Answer 1

x=1/64

Step by step Explanation:

since the ques is not properly..so i'm assuming

log 4 and base x.

as,

㏒x(4) = -1/3 = -㏒x((x^(1/3)) [using ㏒a(a^n) = n]

㏒x(4) + ㏒x((x^(1/3))= 0

㏒x(4×(x^1/3))= 0 [simple addition property]

4×(x^1/3) = 1 [㏒a(n) = 0, then n = 1]

x^1/3 = 1/4

(x^1/3)^3 = (1/4)^3 [both side cubing]

x^1 = (1/4)^3 = 1/64

x = 1/64

I HOPE THIS HELPS YOU