Question

SOLVE

5x + 100 = 5x +100
find x

answer plz ......xD ​

Answer 1

Answer:

The value of x is 3

$Given \: </p><p>5^x-5^{x-1}=100$

we have to find the value of x

$\begin{lgathered}5^x-5^{x-1}=100\\\\ 5^x(1-\frac{1}{5})=100\\\\5^x(\frac{5-1}{5})=100\\\\5^x(\frac{4}{5})=100\\\\5^x=\frac{100\times5}{4}\\\\5^x=125=5^3\end{lgathered} \:$

On comparing both sides, we get

⇒ x=3

hope this helps you