Question

If 5 power x =1000 then find the value of 5 power x+2 and 5power x-2

Answer 1

$\textbf{Given:}$

$5^x=1000$

$\textbf{To find:}$

$\text{The value of 5^{x+2} and 5^{x-2} }$

$\textbf{Solution:}$

$\text{Consider,}$

$5^x=1000$

$\text{Multiply both sides by 25, we get}$

$5^x{\times}25=1000{\times}25$

$5^x{\times}5^2=25000$

$\implies\boxed{\bf\,5^{x+2}=25000}$

$5^x=1000$

$\text{Divide both sides by 25, we get}$

$\dfrac{5^x}{25}=\dfrac{1000}{25}$

$\dfrac{5^x}{5^2}=40$

$\implies\boxed{\bf\,5^{x-2}=40}$

Answer 2

Answer:

5 power x+2 = 25000

5 power x-2 = 40

Step-by-step explanation:

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