Question

Log5(4х+25)=3 ------корень уравнение x=2 21 25 10

Answer 1

Log5(4x+25)=log5 125
4x+25=125
4x=100
x=25

Answer 2

To find the solution to the equation $\log_5(4x+25) = 3$, we need to isolate the variable $x$. Let's solve it step by step:

1. Start with the given equation: $\log_5(4x+25) = 3$.
2. Rewrite the equation in exponential form: $5^3 = 4x+25$.
3. Simplify the left side of the equation: $125 = 4x+25$.
4. Subtract 25 from both sides of the equation: $100 = 4x$.
5. Divide both sides of the equation by 4: $x = \frac{100}{4}$.
6. Simplify the right side of the equation: $x = 25$.

Therefore, the solution to the equation $\log_5(4x+25) = 3$ is $x = 25$.