Question

Log13(5x-22)=log 13 7*

Answer 1

Ответ: 5.8

Объяснение: не знаю,  зачем в задании звездочка, но без нее решение выглядит так

Answer 2

To solve the equation log₁₃(5x - 22) = log₁₃(7), you can use the property of logarithms that states:

If log₁₃(a) = log₁₃(b), then a = b.

In this case, both sides of the equation have the same base (logarithm base 13), so you can equate the arguments:

5x - 22 = 7

Now, you can solve for x:

5x = 7 + 22 5x = 29

Divide both sides by 5:

x = 29 / 5

x = 5.8

So, the solution to the equation is x = 5.8.