Question

Question 177(iii)

Find x.
$2^x+2^x+2^x=192$

Answer 1

We have, $2^x+2^x+2^x=192\Rightarrow 2^x(1+1+1)=192\Rightarrow 3\times \left(2^x\right)=192\Rightarrow 2^x=\frac{192}{3}=64\Rightarrow 2^x=2\times 2\times 2\times 2\times 2\times 2\Rightarrow 2^x=2^6$
Since, the base is same on both sides, we can equate the powers.
On equating the powers of 2, we get x = 6