Question

Решить уравнение log3 (2x-4)-1=3

Answer 1

(2x-4)-1=3

(2x-4)=3+1

(2x-4)=4

2x=4+4

2x=8

x=8/2

x=4

ответ;4

2x вы делите как и други  цыфры с буквами

к примеру как

7e=42

e=6

цыфра это то сколько букв

Answer 2

To solve the equation log₃(2x - 4) - 1 = 3, follow these steps:

Step 1: Isolate the logarithmic term on one side of the equation.

Add 1 to both sides: log₃(2x - 4) = 3 + 1 log₃(2x - 4) = 4

Step 2: Use the definition of logarithms to rewrite the equation in exponential form.

The logarithm equation logₐ(b) = c is equivalent to the exponential equation a^c = b.

Apply this to the given equation: 3^4 = 2x - 4

Step 3: Calculate the value of 3^4.

3^4 = 81

Step 4: Solve for x.

81 = 2x - 4

Add 4 to both sides: 81 + 4 = 2x

85 = 2x

Finally, divide by 2: x = 85 / 2 x = 42.5

So, the solution to the equation is x = 42.5. You can check this solution by substituting it back into the original equation to make sure it holds true.