Question

If 5^x – 5^x–1 = 100, then find the value of x.

Answer 1

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Answer 2

Answer:

The value of x is 3

Step-by-step explanation:

Given $5^x-5^{x-1}=100$

we have to find the value of x

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

On comparing both sides, we get

⇒ x=3