Question

only th answer no detail answer help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

x = 2

this is it.............

Answer 2

AnsWer :

x= 1/4.

Solution :

$\tt {5}^{2x + 1} \div 25 = 125.$

$\tt \dagger \: \: \: \: \: \dfrac{{a}^{m}}{ {a}^{n}} = {a}^{mn}.$

$\tt\dagger \: \: \: \: \: {a}^{m} \times {a}^{n} = {a}^{m + n}.$

$\tt \longmapsto \dfrac{{5}^{2x + 1}}{25} = 125.$

$\tt\longmapsto \dfrac{{5}^{2x + 1}}{ {5}^{2} } = {5}^{3} .$

$\tt\longmapsto {5}^{2(2x + 1)} = {5}^{3} .$

$\tt\longmapsto 2(2x + 1) = 3.$

$\tt\longmapsto 4x + 2 = 3.$

$\tt\longmapsto 4x = 1.$

$\tt\longmapsto x = \dfrac{1}{4} .$

Therefore, the value of x is 1/4.