Question 1095187

State the value of x that satisfies 4^(2x-3)=2
<pre>{{{4^(2x - 3) = 2}}}
{{{(2^2)^(2x - 3) = 2}}} ------ Converting 4 to base 2
{{{2^(2(2x - 3)) = 2^1}}}
2(2x - 3) = 1 ------ Bases are equivalent and so are the exponents
4x - 6 = 1
4x = 7
{{{highlight_green(matrix(1,3, x, "=", 7/4))}}}