Question

If (3^3)^2=9^x then 5^x=?

Answer 1

Step-by-step explanation:

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Answer 2

Given:

(3³)² = 9ˣ

To find:

The value of 5ˣ

Solution:

To find the value of 5ˣ first we need to simplify the equation given to us.

We will solve both equations in such a way that the base numbers are the same so that we can equate the exponentials.

(3³)² = 9ˣ

It can also be re-written as

3⁶ = 9ˣ

3×3×3×3×3×3 = 9ˣ

9³ = 9ˣ

OR

(3³)² = 9ˣ

3 ⁽³ˣ²⁾ = 9ˣ

(3²)³ = 9ˣ

(9)³ = 9ˣ

9³ = 9ˣ

3 = x

x = 3

Therefore, the value of the x = 3,

Lets now substitute the value of x into 5ˣ

= 5ˣ

= 5³

= 5×5×5

= 125

So,If (3^3)^2=9^x then the value of 5^x= 125

Therefore , If (3³)² = 9ˣ then 5ˣ = 125.