Question

5 power x + 3 equal to 25 power 3 x minus 4

Answer 1

Answer:

11/5

Step-by-step explanation:

$[tex]5^{x+3}=25^{3x-4}$

$5^{x+3}=[(5)^{2}]^{3x-4}$

∵ $(a^{n})^{m} = a^{mn}$

$5^{x+3}=5^{6x-8}$

Comparing both sides

x + 3 = 6x - 8

- 5x = - 11

x = 11/5

Answer 2

Answer:

$\dfrac{11}{5}$

Step-by-step explanation:

$\text{Given:} \: 5^{x + 3 } = 25^{3x - 4 }\\\\\text{ 25 can be written as}\:\:5^2 . \:\text{Writing 25 as that we get,} \\\\\implies 5^{x+3} = 5^{ 2( 3x - 4 ) }\\\\\text{Since the bases are equal we can equate the powers. Hence we get,}\\\\\implies x + 3 = 2 ( 3x - 4 )\\\\\implies x + 3 = 6x - 8\\\\\implies 3 + 8 = 6x - x\\\\\implies 11 = 5x\\\\\implies x = \dfrac{11}{5}$