Question

6^2x + 11 = 216
4^x + 2 + 4^x - 1 = 260​

Answer 1

$6 {}^{2x + 11} = 216$

$6 {}^{2x + 11} = 6 {}^{3}$

$2x + 11 = 3$

$2x = 3 - 11$

$2x = - 8$

$x = - 4$

__________

$4 {}^{x + 2} + 4 {}^{x - 1} = 260$

$(4 {}^{3} + 1) \times 4 {}^{x - 1} = 260$

$(64 + 1) \times 4 {}^{x - 1} = 260$

$65 \times 4 {}^{x - 1} = 260$

$4 {}^{x - 1} = 4$

$4 {}^{x - 1} = 4 {}^{1}$

$x - 1 = 1$

$x = 1 + 1$

$x = 2$