Final answer:
To find the value of x, solve the equation log3(7x-2) = 5 by rewriting it in exponential form and isolating the variable x.
Step-by-step explanation:
To find the value of x, we need to solve the equation log3(7x-2) = 5.
We can rewrite this equation in exponential form: 35 = 7x-2.
So, 243 = 7x-2. Add 2 to both sides of the equation to isolate the variable x, giving us 245 = 7x. Divide both sides by 7 to solve for x, resulting in x = 35.
Therefore, the value of x is 35.