Question

if 4 to the power of 2n=8 to the power of n+5 then find the value of n​

Answer 1

Answer:

${4}^{2n} = 8 ^{n + 5}$

$(2 ^{2} )^{2n} = (2 ^{3} )^{n + 5}$

$2 ^{4n} = 2 ^{3n + 15}$

On Comparing ( if bases are equal then their powers are also equal )

$4n = 3n + 15$

$4n - 3n = 15$

$n = 15$