Question

11. Find the value of x in the following:​

Answer 1

Answer:

${5}^{ x} \times {5}^{ - 8} = {5}^{ - 3} \\ \\ \\ {5}^{x + ( - 8)} = {5}^{ - 3} \\ \\ \\ {5}^{x - 8} = {5}^{ - 3} \\ \\ \\ x - 8 = - 3 \\ \\ \\ x = 5$

Answer 2

Answer:

x = 5

Step-by-step explanation:

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

Powers (exponents) get added when the bases are same on multiplication.

$\dashrightarrow 5^{x+(-8)} = 5^{-3}$

Bases are equal on both the sides, so we can equate them out.

→ x + (-8) = -3

→ x - 8 = -3

→ x = -3 + 8

→ x = 5