Question

Lg(5x - 3) = 1с обьяснением​

Answer 1

Объяснение:

ищем область допустимых значений:

х>3/5

5x-3=10³

считаем степень:

5х-3=1000

переносим:

5х=1000+3=> 5х=1003/:5=> х=1003/5=200,6

Answer 2

To solve the equation LG(5x - 3) = 1, we need to isolate the variable x. Here's a step-by-step explanation of the solution:

Step 1: Rewrite the equation The function LG represents the logarithm base 10, so we can rewrite the equation as: log10(5x - 3) = 1

Step 2: Exponentiate both sides To eliminate the logarithm, we raise both sides of the equation to the power of 10: 10^(log10(5x - 3)) = 10^1

Step 3: Simplify By the properties of logarithms and exponents, the left side simplifies to: 5x - 3 = 10

Step 4: Solve for x To isolate x, we can add 3 to both sides of the equation: 5x - 3 + 3 = 10 + 3 5x = 13

Finally, divide both sides by 5 to solve for x: x = 13/5

Therefore, the solution to the equation LG(5x - 3) = 1 is x = 13/5.