Question

find the value of x of 4 raise to x + 1 X 2 raise to 3 is equal to 8 raise to 5

Answer 1

4^(x+1) * 2^3 = 8^5
4^(x+1) * 8 = 8^5 [ since 2^3 =8]
4^(x+1) = 8^5/8
4^(x+1) = 8^(5-1)
4^(x+1) = 8^4
4^(x+1) = (8^2)^2
4^(x+1) = 64^2
4^(x+1) = (4^3)^2
4^(x+1) = 4^6
since the base is same so we can compare the powers
so,
x+1 = 6
x = 6-1
x = 5
so the value of x is 5