Find the value of xif 5° +5*** + 5*-1 - 651
Answers
Answered by
0
Answer:
x=3
Step-by-step explanation:
Given 5^x-5^{x-1}=1005
x
−5
x−1
=100
we have to find the value of x
\begin{gathered}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{gathered}
5
x
−5
x−1
=100
5
x
(1−
5
1
)=100
5
x
(
5
5−1
)=100
5
x
(
5
4
)=100
5
x
=
4
100×5
5
x
=125=5
3
On comparing both sides, we get
⇒ x=3
Similar questions