Question

2^x+2^x+2^x=192 find the value of x

​

Answer 1

Answer:

10

Step-by-step explanation:

I II III IV V VI VII VIII IX X

Answer 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