Q) Find the value of n 2n-5×62n-4=1124×2 - Maths - Exponents and Powers

Question

Q) Find the value of n
2 n - 5 × 6 2 n - 4 = 1 12 4 × 2

Abhishek Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
2n-5×62n-4=1124×2⇒2n-5×62n-4=12×2×34×2⇒2n-5×62n-4=12×34×2×24⇒2n-5×62n-4=164×25           {Since, ax×ay=ax+y}⇒2n-5×62n-4=2-5×6-4Comparing both sides of given equation we get;n-5=-5       and 2n-4=-4⇒n=-5+5=0    Therefore, value of n is 0
Regards

Q). Find the value of n 2 n - 5 × 6 2 n - 4 = 1 12 4 × 2

Q). Find the value of n
$2^{n - 5} \times 6^{2 n - 4} = \frac{1}{12^{4} \times 2}$