Question

If $(\sqrt{1024}{)}^3=8^x$ then x is _____.

Answer 1

Given: $(\sqrt{1024}{)}^3=8^x(\sqrt{2^{10}{)}^3}=8^x(\sqrt{2^{5^2}}{)}^3=8^x{2}^{5^3}=2^{x^3}$
taking cube root both the sides
$2^5=2^x$
We know that, if $a^m=a^n==$ then, n = m
Hence,
x = 5