Question

Find the value of x ​

Answer 1

Answer:

X = 11

Step-by-step explanation:

5^x = 5^3 . 5^8

5^x = 5^8+3

5^x = 5^11

base are same so power will be same

X =  11

Answer 2

Using exponent laws

$a {}^{x} \times {a}^{y} = {a}^{(x + y)}$

${5}^{x} = {5}^{3} \times {5}^{8}$

${5}^{x} = 5 {}^{3 + 8}$

${5}^{x} = 5 {}^{11}$

equating both powers as bases are same

$5 {}^{x} = 5 {}^{11} \\ x = 11 \: \\\ hope \: it \: helps$