Question

find the value of x ,if 3^4 ×3^5 =(3^3)^x

Answer 1

(3^4)*(3^5)=(3^3)^x
3^9=(3^3)^x
9=3x
x=3

Answer 2

$3 {}^{4} \times {3}^{5} = ( {3}^{3}) {}^{x} \\ (3) {}^{4 + 5} = {3}^{3 \times x} \\ 3 {}^{9} = 3 {}^{3x} \\ when \: bases \: are \: same \: we \: equate \: powers \: \: so \\ 9 = 3x \\ x = \frac{9}{3} \\ x = 3$