Solve the equation to find the value of x. Show all steps on your work. log2(3x+5)=5

Answer 1

To solve the equation log2(3x+5) = 5, we need to isolate the variable x.

Step 1: Rewrite the equation using the exponential form of logarithms.
2^5 = 3x + 5

Step 2: Simplify.
32 = 3x + 5

Step 3: Subtract 5 from both sides to isolate the term containing x.
32 - 5 = 3x
27 = 3x

Step 4: Divide both sides by 3 to solve for x.
27/3 = x
9 = x

Therefore, the value of x is 9.