2^x+2^x+2^x=192 find the value of x
Answers
Answered by
1
Answer:
10
Step-by-step explanation:
I II III IV V VI VII VIII IX X
Answered by
2
Answer:
Valueofx=6
Step-by-step explanation:
Given \: 2^{x}+2^{x}+2^{x}=192Given2
x
+2
x
+2
x
=192
\implies 3 \times 2^{x}=192⟹3×2
x
=192
\implies 2^{x}=\frac{192}{3}⟹2
x
=
3
192
\implies 2^{x}= 64⟹2
x
=64
\implies 2^{x}=2^{6}⟹2
x
=2
6
\* By Exponential Law:
\boxed {If \: a^{m}=a^{n} \implies m=n }
Ifa
m
=a
n
⟹m=n
*\
\implies x = 6⟹x=6
Therefore,
Value \:of\: x = 6Valueofx=6
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