Twos And Eights Make?

$8 \times 128 = 2^N$ $\Rightarrow 2^3 \times 2^7 = 2^N$ $\Rightarrow \large \color{#20A900}{\boxed{N=10}}$

128*8 = 1024

log_(2)1024 = 10

L.H.S = 8(128) = (2^3)(2^7) = 2^10
R.H.S = 2^N
R.H.S = L.H.S therefore,
N = 10.

L.H.S is left hand side, R.H.S is right hand side.

• $128$ $\times$ $8$ $=$ $2^N$
• $\Rightarrow 2^7 \times 2^3 = 2^N$
• $\Rightarrow 2^{10} = 2^N$
• $\color{#D61F06}\boxed{N=10}$

2^N=128×8

2^N=2^7×2^3

2^N=2^10

N=10

nice solution.