Vii part please Q (vii) 2n-5×62n-4=1/124×2 Find the value of n - Maths - Integers

Question

Vii part please
Q (vii) 2 n - 5 × 6 2 n - 4 = 1 / 12 4 × 2 Find the
value of n

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

vii2n-5 × 62n-4 = 1124 × 2 2n-5 × 2×32n-4 = 1  22×3 4 × 2 2n-5 × 22n-4×32n-4 = 1 28 × 34 × 2        Since a×bm=am × bm 2n-5+2n-4 × 32n-4 = 128+1 × 34               Since am×an=am+n 23n-9 × 32n-4 = 2-9 × 3-4                     Since 1an=a-n Comparing both sides, we get3n-9=-9 and 2n-4=-43n=0  and  2n=0n=0  and n =0So, value of n is 0
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Vii part please Q.(vii) 2 n - 5 × 6 2 n - 4 = 1 / 12 4 × 2 . Find the value of n.

Vii part please
Q.(vii) $2^{n - 5} \times 6^{2 n - 4} = 1 / (12^{4} \times 2)$ . Find the value of n.