Question

3^x + 3^x + 3^x =162 pls find ?​

Answer 1

Explanation:

We have:

3^x+3^x3

x

+3

x

= 162

We have to find, the value of x is:

Solution:

∴ 3^x+3^x3

x

+3

x

= 162

Taking 3^x3

x

as common in L.H.S., we get

⇒ 3^x3

x

(1 + 1) = 162

⇒ 3^x3

x

(2) = 162

⇒ 3^x3

x

= \dfrac{162}{2}

2

162

⇒ 3^x3

x

= 81 [ ∵ 81 = 3 × 3 × 3 × 3]

⇒ 3^x3

x

= 3^43

4

⇒ x = 4

Thus, the value of "x is equal to 4".