Question

Lg(5x-3)=1 рівняння

Answer 1

Смотри.........................

Answer 2

.......................

Answer 3

To solve the equation $\log(5x-3) = 1$, we need to get rid of the logarithm on the left side of the equation. The logarithm is in base 10, as the base is not specified. Here are the steps to solve the equation:

Step 1: Rewrite the equation in exponential form. The logarithmic equation $\log_b(x) = y$ is equivalent to $b^y = x$. In this case, $b = 10$ and $y = 1$, so we get: $10^1 = 5x-3$.

Step 2: Solve for $x$: $10 = 5x - 3$.

Step 3: Isolate $x$ on one side: Add 3 to both sides: $5x = 10 + 3$, $5x = 13$.

Step 4: Solve for $x$: Divide both sides by 5: $x = \frac{13}{5}$.

So, the solution to the equation $\log(5x-3) = 1$ is $x = \frac{13}{5}$.