Question

Tell the Answer of this question and I will mark you as brilliant​

Answer 1

$x = 2$

Explanation:

Given -

• ${4}^{x} + {4}^{x} + {4}^{x} = 48$

To find -

• $x$

Solution -

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

Taking ${4}^{x}$ common ,

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

$\longmapsto {4}^{x} (3) = 48$

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

Now dividing 3 on both sides ,

$\longmapsto \frac{ \large {4}^{x} \times \cancel 3}{ \large \cancel 3} = \frac{ \large 16 \times \cancel 3}{ \large \cancel3}$

$\longmapsto {4}^{x} = 16$

$\longmapsto {4}^{x} = {4}^{2}$

On equating ,

$\longmapsto \orange { \boxed{x = 2}}$