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`
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deadline: friday october 8pm

i hope you can help me:(​

Answer 1

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