Question

16*8^n+2=2m then m is equal to

Answer 1

Step-by-step explanation:

$16 \times {8}^{n + 2} = {2}^{m} \\ \\ {2}^{4} \times {( {2}^{3}) }^{n + 2} = {2}^{m} \\ \\ {2}^{4} \times {2}^{3n + 6} = {2}^{m} \\ \\ {2}^{4 + (3n + 6)} = {2}^{m}$

${2}^{10 + 3n} = {2}^{m}$

$m = 10 + 3n$

Answer 2

Given:

16($8^{n+2} = 2^{m}$)

To Find:

m

Solution:

16($8^{n+2} = 2^{m}$)

$2^{4}(2^{3}) ^{n+2} }= 2^{m}$

$2^{4}(2^{3n+6}) = 2m$

$2^{4+(3n+6)}= 2m$

$2^{10+3n} =2m$

m = 10+ 3n

Therefore, the value of m is 10+ 3n.