Solve the equation to find the value of x. Show all the steps on your work.
log 2(3x+5)=5
To solve the equation log2(3x + 5) = 5, we need to isolate the variable x.
First, we can rewrite the equation using the logarithmic property: 2^5 = 3x + 5.
2^5 is equal to 32, so the equation becomes: 32 = 3x + 5.
Next, we can subtract 5 from both sides of the equation to isolate the term with x: 32 - 5 = 3x.
This simplifies to: 27 = 3x.
To solve for x, we divide both sides of the equation by 3: 27/3 = x.
This gives us the final solution: x = 9.