Question

solve for the equation of value of x(show your solution)
"EXPONENTIAL FUNCTIONS"

$1.) {9}^{2x} - 5 = 27$
$2.) {25}^{2x} - 1 = {125}^{3x} + 4$
$3.) {7}^{3x} + 4 < {49}^{2x} + 1$
$4.) {16}^{2x} - 5 \geqslant {64}^{2x} - 3$
​
deadline: friday october 8pm

i hope you can help me:(​

Answer 1

Answer:

2. ) {25}^{2x} - 1 = {125}^{3x} + 4

=> {25}^{2x} = {125}^{3x} + 4 +1

=> {(5)^(2)}^{2x} = {(5)^(3)}^{3x} + {5}^{1}

=> {5}^{4x} = {5}^{9x} + {5}^{1}

=> 4x = 9x + 1

=> 4x - 9x = 1

=> - 5x = 1

=> x = 1/-5