Question 1129935
<br>
The statement is not true; so it can't be proved.<br>
Use "nice" numbers to find a counterexample: b=2, v=13.  Then the right side of the given equation evaluates to<br>
{{{(1/2)log_2(13+3) = (1/2)log_2(16) = (1/2)(4) = 2}}}<br>
Then the equation says the expression on the left, log_2(x), is equal to 2.  So<br>
log_2(x)=2  -->  x = 2^2 = 4.<br>
But the statement we are trying to prove is x = (b^3)^sqrt(v), and it is certainly not true that<br>
4 = (2^3)(sqrt(13).<br>
Note that if you show the given equation correctly, a proof is possible....