Question

Find the value of n if 2ⁿ+2ⁿ+2ⁿ=192​

Answer 1

Answer:

n=64

Step-by-step explanation:

2n+2n+2n=192

3n=192

n=64

Answer 2

The value of n = 6

Given :

2ⁿ + 2ⁿ + 2ⁿ = 192

To find :

The value of n

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

2ⁿ + 2ⁿ + 2ⁿ = 192

Step 2 of 2 :

Find the value of n

$\displaystyle \sf{ {2}^{n} + {2}^{n} + {2}^{n} = 192 }$

$\displaystyle \sf{ \implies 3 \times {2}^{n} = 192 }$

$\displaystyle \sf{ \implies {2}^{n} = 64 }$

$\displaystyle \sf{ \implies {2}^{n} = {2}^{6} }$

$\displaystyle \sf{ \implies n = 6 }$

Hence the required value of n = 6