Question

Determine the value of x and y if 2^y = 8^x and 3^y = 3^x+4

Answer 1

2^y = 8^x===>2^y = 2^3x

y = 3x......eq 1

3^y = 3^x+4

y=x+4.....eq 2

3x = x + 4

2x = 4

x =2

y=3x

y=3(2)

y=6