Problem

Question 10 If $\log _{2}(4 x+3)=3$, then $x=$ You may enter the exact value or round to 4 decimal places. Submit Question

Solution

Step 1 :Given the equation \(\log _{2}(4 x+3)=3\)

Step 2 :Using the property of logarithms that says \(\log_b(a) = c\) is equivalent to \(b^c = a\), we can rewrite the equation as \(2^3 = 4x + 3\)

Step 3 :Solving for x, we get \(x = 1.25\)

Step 4 :Final Answer: The solution to the equation is \(x \approx \boxed{1.25}\)

From Solvely APP
Source: https://solvelyapp.com/problems/4dgaukLr61/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download