Find the value of x, if (2^2x-2 + 10)÷13 = 2.
Answers
Answer:
\textbf{To find:}To find:
\text{The value of x}The value of x
\textbf{Solution:}Solution:
\text{Consider,}Consider,
\dfrac{2^{2x-2}+10}{13}=2
13
2
2x−2
+10
=2
\implies\,2^{2x-2}+10=26⟹2
2x−2
+10=26
\implies\,2^{2x-2}=26-10⟹2
2x−2
=26−10
\implies\,2^{2x-2}=16⟹2
2x−2
=16
\implies\,2^{2x-2}=2^4⟹2
2x−2
=2
4
\text{Equating powers on bothsides, we get}Equating powers on bothsides, we get
2x-2=42x−2=4
2x=4+22x=4+2
2x=62x=6
\implies\boxed{\bf\,x=3}⟹
x=3
\therefore\textbf{The value of x is 3}∴The value of x is 3
\textbf{Find more:}Find more:
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