Question

3^27÷3^14=3^2x . find value of x

Answer 1

3^27/3^14 = 3^2x

( a^m/a^n = a^m-n)

3^27-14 = 3^2x

3^13 = 3^2x

(compare)

13 = 2x

x = 13/2

value of x is 13/2

Answer 2

Heya friend,
Here is the answer you were looking for:
${3}^{27} \div {3}^{14} = {3}^{2x}$

We know that

${a}^{m} \div {a}^{n} = {a}^{m - n}$

So,

${3}^{27 - 14} = {3}^{2x}$

As the bases are same, so putting the powers equal

$27 - 14 = 2x \\ \\ 13 = 2x \\ \\ \frac{13}{2} = x \\ \\ x = 6.5$

Hope this helps!!!

Regards : Mahak24

Thanks...
☺☺