Answer:
To find the value of x in the equation 3⁴ˣ × 3⁵ = 3³ˣ, we can use the law of exponents which states that when we multiply two exponential expressions with the same base, we can simply add their exponents. Applying this law, we can rewrite the equation as:
3^(4x+5) = 3^(3x)
Now, we can equate the exponents on both sides of the equation and solve for x:
4x + 5 = 3x
Subtracting 3x from both sides, we get:
x = -5
Therefore, the value of x in the equation is -5.
Explanation: