Question

Log ( +5x+8)= -1

Answer 1

Ответ:

- 3 и - 2

Пошаговое объяснение:

Answer 2

To solve the equation $\log(5x+8) = -1$, you can follow these steps:

Step 1: Remove the logarithm by exponentiating both sides. Since the base of the logarithm is usually 10 (common logarithm) or e (natural logarithm), we'll use base 10 for simplicity:

$10^{\log(5x+8)} = 10^{-1}$

This simplifies to:

$5x+8 = \frac{1}{10}$

Step 2: Isolate the variable $x$:

Subtract 8 from both sides of the equation:

$5x = \frac{1}{10} - 8$

$5x = \frac{1}{10} - \frac{80}{10}$

$5x = -\frac{79}{10}$

Step 3: Divide both sides by 5 to solve for $x$:

$x = -\frac{79}{10 \cdot 5}$

$x = -\frac{79}{50}$

So, the solution to the equation $\log(5x+8) = -1$ is $x = -\frac{79}{50}$.