Question 1076450
5^(2x+1)÷25=125
<pre>{{{matrix(1,3, 5^(2x + 1)/25, "=", 125)}}}
{{{matrix(1,3, 5^(2x + 1)/5^2, "=", 5^3)}}}
{{{matrix(1,3, 5^(2x + 1), "=", 5^3 * 5^2)}}} ------- Cross-multiplying
{{{matrix(1,3, 5^(2x + 1), "=", 5^(3 + 2))}}} ------ Applying {{{a^b * a^c = a^(b + c)}}}
2x + 1 = 3 + 2 ---------- Bases are equal and so are the exponents
2x = 4
{{{highlight_green(matrix(1,5, x, "=", 4/2, or, 2))}}}