How to solve 16^n=8^n+1 showing work.?

16^(n) = 8^(n + 1)

(2^4)^(n) = (2^3)^(n + 1)

2^(4 * n) = 2^(3 * (n + 1))

2^(4n) = 2^(3n + 3)

4n = 3n + 3

4n - 3n = 3

n = 3

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2^(4n) = 2^[ 3 (n + 1 ) ]

4 n = 3 n + 3

n = 3

CHECK
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16^3 = 4096
8^(4) = 4096

5x + a million = 15 - 2x flow like words to comparable component (5x and -2x, and a million and 15) try this with the aid of subtracting a million and including it to the different component, and including 2x and including it to the different component 5x + 2x = 15 - a million integrate like words 7x = 14 divide with the aid of 7 the two facets to go away x on my own x = 2

16^n = 8^(n + 1)
(2^4)^n = (2^3)^(n + 1)
2^(4n) = 2^[3(n + 1)]
4n = 3(n + 1)
4n = 3n + 3
4n - 3n = 3
n = 3

n = 3

16^(n) = 8^(n + 1)
2^(4n) = 2^(3n + 3)
4n = 3n + 3
n = 3