What is x in the equation 1000=(x8)32?

4 Answers
Aug 6, 2018

x=108

Explanation:

1000=(x8)32

Cube root both sides

10=(x8)12

Square both sides

100=x8

Add 8

x=108

Aug 6, 2018

x=108

Explanation:

(x8)32=1000

(x8)32=103

(x8)3=106

x8=102

x=102+8=108

Aug 6, 2018

x=108

Explanation:

Note that 1000=103

Raise both sides to the power of 23

(103)23=((x8)32)23

Multiply the indices:

102=x8

100=x8

108=x

Aug 7, 2018

x=108

Explanation:

1000=(x8)32

103=(x8)32

(10012)3=(x8)32

10032=(x8)32

100=x8

x=108