Question

What is the value of x if: 2^5 × 2^x = 2?

A. 3
B. 4
C. 5
D. 6

Answer 1

To find the value of x in the equation 2⁵ × 2ˣ = 2, you can use the rule that states when you multiply two numbers with the same base, you add their exponents. None of the option is correct.

Step-by-step explanation:

To find the value of x in the equation 2⁵ × 2ˣ = 2, we can use the rule that states when you multiply two numbers with the same base, you add their exponents. In this case, we have 2⁵ × 2ˣ, so the exponents can be added: 5 + x. Since the equation equals 2, we set the exponents equal to each other: 5 + x = 1. Now, we can solve for x: 5 + x = 1 subtract 5 from both sides to isolate x, x = 1 - 5, giving us x = -4.