Question

If 16x8^n+2= 2 = 2^m, then m is equal to ..? (a)n+3 (b) 2n+10 (c) 3n+2 (d) 3n+10​

Answer 1

Step-by-step explanation:

\begin{gathered}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} \end{gathered}

16×8

n+2

=2

m

2

4

×(2

3

)

n+2

=2

m

2

4

×2

3n+6

=2

m

2

4+(3n+6)

=2

m

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

10+3n

=2

m

m = 10 + 3nm=10+3n0