Question

5^x+3=25^x+1 find the value of x​

Answer 1

${5}^{x} + 3 = {25}^{x} + 1 \\ t + 3 = {t }^{2} + 1 \: \: \: \: \: \: \: where \: {5}^{x } = t$

${t }^{2} - t - 2 = 0$

$(t - 2)(t + 1) = 0$

$t = 2 \: or \: \: \: t = - 1$

${5}^{x} = 2$

$x = log_{5}(2)$