Question

Решите уравнение: log7(5х-2)=49

Answer 1

Ответ:

x=0

Пошаговое объяснение:

log7(5x-2)=49

49 = 7^2

5x-2=2

5x=0

x=0

Answer 2

To solve the equation log7(5x - 2) = 49, we need to isolate the variable x. Since the equation involves logarithm, we'll use logarithm properties to simplify it:

Step 1: Apply the property of logarithms: log_a(b) = c is equivalent to a^c = b.

So, we have: 7^49 = 5x - 2

Step 2: Solve for x: 5x - 2 = 7^49

Step 3: Add 2 to both sides to isolate 5x: 5x = 7^49 + 2

Step 4: Divide both sides by 5 to solve for x: x = (7^49 + 2) / 5

Now, calculate the value of x using a calculator or computational software:

x ≈ 7.00784 × 10^41