Question

using law of exponent determine x such that i)1000=2^x * 5^x​

Answer 1

$1000 = {2}^{x} \times {5}^{x} \\ = > {10}^{3} = {(2 \times 5)}^{x} \: \: \: \: \: \: \: \: \: ( \because {a}^{x} \times {b}^{x} = {(ab)}^{x} ) \\ = > {10}^{3} = {10}^{x} \\ = > x = 3$



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Answer 2

Answer:

x=3

Step-by-step explanation:

1000=2^x × 5^x

10^3=(2×5)^x

10^3=10^x

x=3