Question

4^x=8 Показательное уровнения

Answer 1

смотри решение внизу

если равны основания степеней,то и показатели тоже равны.

Answer 2

4 в никакой степени не может быть равным 8. => Корней нет
Ответ: корней нет.

Answer 3

To solve the exponential equation 4^x = 8, we need to find the value of x that satisfies the equation.

Since 8 can be written as 2^3, we can rewrite the equation as:

4^x = 2^3

To make the bases the same, we can rewrite 4 as 2^2:

(2^2)^x = 2^3

Now, we can apply the exponentiation rule, which states that when you raise a power to another power, you multiply the exponents:

2^(2x) = 2^3

Since the bases are the same, we can equate the exponents:

2x = 3

To solve for x, we divide both sides of the equation by 2:

x = 3/2

Therefore, the solution to the equation 4^x = 8 is x = 3/2.