Question

Find x
${2}^{3} \times {2}^{x} = {8}^{5}$
​

Answer 1

Answer:

Heya user............ ❤

2^3 * 2^x = 8^5

=> 2^x = 4096

=> 2^x = 2^12

That's why, we can write

x = 12

Hope it’s helpful..... ☆(❁‿❁)☆

Answer 2

Answer:

x = 12

Step-by-step explanation:

2³ x 2ˣ = 8⁵

8 = 2 x 2 x 2 = 2³

So, 8⁵ = (2³)⁵

We know that, (mᵃ)ᵇ = mᵃˣᵇ = mᵃᵇ

So, 8⁵ = (2³)⁵ = 2³ˣ⁵ = 2¹⁵

Also,  nᵃ x nᵇ = (n)ᵃ⁺ᵇ

So, 2³ x 2ˣ = (2)³⁺ˣ

⇒(2)³⁺ˣ = 2¹⁵

As the bases are same, their exponents will be equal

3 + x = 15

x = 15 - 3

x = 12