Question

Log 2 x-5/4=0 решите уравнение

Answer 1

Ответ: х-5/4=1⇒х=1+5/4=9/4=2 1/4.

Объяснение:

Answer 2

To solve the equation, we need to isolate the variable "x" on one side of the equation. Let's start by solving step-by-step:

Given equation: $\log_2(x) - \frac{5}{4} = 0$

Step 1: Add $\frac{5}{4}$ to both sides to move the constant term to the right side: $\log_2(x) = \frac{5}{4}$

Step 2: Now, we need to remove the logarithm from the left side. Since the base of the logarithm is 2, we can rewrite the equation in exponential form: $x = 2^{\frac{5}{4}}$

Step 3: Simplify the exponent: $x = \sqrt[4]{2^5}$

Step 4: Evaluate the right side: $x = \sqrt[4]{32}$

Step 5: Simplify the fourth root: $x = 2$

So, the solution to the equation is $x = 2$.