Question 10

If $\log _{2}(4 x+3)=3$, then $x=$ You may enter the exact value or round to 4 decimal places.
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Final Answer: The solution to the equation is $x \approx \boxed{1.25}$

Steps

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 $x \approx \boxed{1.25}$