Question

Log 1/4 4=x знайти x​

Answer 1

Ответ:  -1

Объяснение:

Log 1/4 4=x \

(1/4)^x=4

4^(-x)=4^1

-x=1

x=-1

Answer 2

To solve the equation log₁/₄ 4 = x, we need to understand that logarithms are the inverse operation of exponentiation. In other words, if we have the equation logᵦ b = x, it means that b raised to the power of x equals b.

In this case, we have log₁/₄ 4 = x. It means that 1/₄ raised to the power of x equals 4:

(1/₄)ᵡ = 4

To find the value of x, we can rewrite 4 as a power of 1/₄:

4 = 4¹ = (1/₄)⁻¹

Now, our equation becomes:

(1/₄)ᵡ = (1/₄)⁻¹

Since the bases are the same (both are 1/₄), the exponents must be equal:

x = -1

So, x = -1.