QuestionSolve for $x$. $$\log _{2}(5 x-7)=1$$

Studdy Solution
Solve the equation $5x - 7 = 2$ for $x$.
First, add 7 to both sides:
$$5x - 7 + 7 = 2 + 7$$ $$5x = 9$$
Next, divide both sides by 5 to isolate $x$:
$$x = \frac{9}{5}$$
The value of $x$ is:
$$\boxed{\frac{9}{5}}$$