Question

Решить уравнение: log2(2х+13)=3.

Answer 1

Ответ:

x = -2.5

Пошаговое объяснение:

2^3 = 8

2x + 13 = 8

2x = -5

x = -2.5

Answer 2

x= -2 1/2

x= -2.5

Покрокове пояснення:

x>-13/2

2x+13=8

2х=8-13

2х= -5

х= -5/2, х> -13/2

Answer 3

To solve the equation log2(2x + 13) = 3, we can use the definition of logarithms. In this case, the equation is saying that 2 raised to the power of 3 is equal to 2x + 13.

The definition of logarithm states that log_b(a) = c if and only if b^c = a.

So, in our equation, we have:

2^3 = 2x + 13

Simplify the left side:

8 = 2x + 13

Now, isolate x by moving the constant term to the other side:

2x = 8 - 13

2x = -5

Finally, solve for x by dividing both sides by 2:

x = -5 / 2

x = -2.5

Therefore, the solution to the equation is x = -2.5.