Question

2^(x-5)=4^(x-1) then x is equal to​

Answer 1

Answer:

Hope answer will help u

Answer 2

Answer:

x = -3

Step-by-step explanation:

Before solving these kinds of Questions, we must know an important rule,

(a^m)^n = a^(m × n)

Now,

we have

2^(x - 5) = 4^(x - 1)

But we know that,

4 = 2 × 2 = 2²

Thus,

2^(x - 5) = (2²)^(x - 1)

2^(x - 5) = 2^(2 × (x - 1))

2^(x - 5) = 2^(2(x - 1))

2^(x - 5) = 2^(2x - 2)

Now, the bases are equal then, the powers also must be equal.

Thus,

x - 5 = 2x - 2

2x - x = 2 - 5

x = -3

Hope it helped and believing you understood it........All the best