Question

find the value of x if 3^x3^x3^x=297/11

Answer 1

3^x * 3^x * 3^x =219/11
a¹ x a¹ x a¹ = a¹+¹+¹
3^x+x+x =219/11
3^3x=219/11
3^3x=27
it can also be written as
3^3=3^3
as the bases are same
3x=3
x=1

Answer 2

when the coefficients are same powers are added so 3^3x=297/11. After dividing 297 by 11 we get 27. So 3^3x=27. We can write 27 as 3³ so 3^3x=3³. By this we can compare the power because coefficients are same so 3x=3. Hence x=1