Question

if if 4 ^ X + 4 ^ x Plus 4 ^ X is equals to 48 then x is equal to​

Answer 1

Answer:

Correct question:-

4x + 4x 4x = 48

Correct answer:-

4(x+x+x) = 48

3x = 12

x = 4

hope it helps....

Answer 2

Answer:

x = 2

Step-by-step explanation:

It is being given that,

${4}^{x} + {4}^{x} + {4}^{x} = 48$

Now, taking ${4}^{x}$ common on LHS,

We get,

$= > {4}^{x} (1 + 1 + 1) = 48$

$= > {4}^{x} \times 3 = 48$

But, we can write 48 as (16×3)

$= > {4}^{x} \times 3 = 16 \times 3$

Now, dividing both sides by 3, we get

$= > \frac{ {4}^{x} \times 3}{3} = \frac{16 \times 3}{3}$

The same terms in Numerator and Denominator will cancel out,

$= > {4}^{x} = 16$

But, we can write $16={4}^{2}$

$= > {4}^{x} = {4}^{2}$

Now, on LHS and RHS, Bases are same, i.e, 4

Therefore exponents must be equal,

Hence, x = 2