Question

Consider the equation: (7526)8 (y)8 = (4364)8 , where (x)n stands for x to the base n. Find y.

Answer 1

dividing both sides by (7526)^8

→(Y)^8=(4364)^8/(7526)^8

we know that,

a^n/b^n=(a/b)^n

→(Y)^8=(4364/7526)^8

now taking the 8th root on both sides

(Y)^8/8=(4364/7526)^8/8

so

Y=(4364/7526)