log5(6x+11)=3

Sure, let's solve the equation step by step.

1. We have the equation log5(6x+11) = 3. This is a logarithmic equation where the base is 5.

2. To remove the logarithm, we can rewrite the equation in exponential form. The base is 5, the exponent is 3, and the result is 6x+11. So, the equation becomes 5^3 = 6x+11.

3. Simplify 5^3 to get 125. So, the equation now is 125 = 6x+11.

4. To isolate the term with x, subtract 11 from both sides of the equation. This gives us 125 - 11 = 6x, which simplifies to 114 = 6x.

5. Finally, to solve for x, divide both sides of the equation by 6. This gives us x = 114/6 = 19.

So, the solution to the equation log5(6x+11) = 3 is x = 19.