Question

Log (2x-1) под основанием 5=2 Помогите решить пож показательное уравнение

Answer 1

Log (2x-1)=2
5
2*13=26
26-1=25
log 25=2
5

Ответ; x=13

Answer 2

Solving the Exponential Equation

To solve the exponential equation log(2x-1) base 5 = 2, we can use the properties of logarithms to rewrite the equation and then solve for the variable x.

First, we can rewrite the equation in exponential form. The logarithmic equation log_b(x) = y can be rewritten as b^y = x. Applying this to our equation, we get:

5^2 = 2x - 1

Solving for x: 25 = 2x - 1 2x = 26 x = 13

So, the solution to the exponential equation log(2x-1) base 5 = 2 is x = 13.