Question

If (3³)² = 9ˣ then 5ˣ = ?​

Answer 1

Answer:

The answer is 125 .

Step-by-step explanation:

= (3^3)^2

= 27^2

---

729= 9^x

729 = 9^3

X = 3

=5^x

= 125

---

The answer is 125 .

====================

Answer 2

If (3³)² = 9ˣ then 5ˣ = 125 and x=3.

Step-by-step explanation:

• The given statement is (3³)² = 9ˣ .
• Taking log on both sides, we get log(3³)² = log(9)ˣ.
• There is a logarithmic rule that is, log(x)ˣ = x(log(x)).
• Hence the equation becomes, 2(log(3³)) = x(log(9)).
• Here we can write 9 as 3² .
• Hence the equation becomes, 2(log(3³)) = x(log(3²)).
• Again using the same rule, 6(log(3))= 2x(log(3)).
• Therefore cancelling log(3) on both sides, we get 2x=6.
• Therefore x=3,concluding that 5³=125.