Question

lsolve this for 70 points..
☺️☺️☺️☺️


${5}^{3x + 5} - {5}^{x + 5} = 130$
​

Answer 1

${5}^{3x + 5} \: - \: {5}^{x + 5} \: = \: 130$

__________ [ GIVEN ]

• We have to find the value of x.

___________________________

→ ${5}^{3x + 5} \: - \: {5}^{x + 5} \: = \: 130$

Now.. write 130 in terms of 5

i.e.

130 = 125 + 5

→ ${5}^{3x + 5} \: - \: {5}^{x + 5} \: = \: 125\:+\:5$

Now.. 5³ = 125

So,

→ ${5}^{3x + 5} \: - \: {5}^{x + 5} \: = \: {5}^{3} \: + \: {5}^{1}$

5 throughout cancel

→ $3x\:+\:5\:-\:(x\:+\:5)\:=\:3\:+\:1$

→ $3x\:+\:5\:-\:x\:-\:5\:=\:3\:+\:1$

→ $2x\:=\:4$

→ $x\:=\:2$

____________________________

x = 2

________ [ ANSWER ]

___________________________

Answer 2

Answer:-

Let x b the value ,let is find the value of x

x+5 =130

130 = 125

3x+5−5

x+5 =125+5

Hence, 5³ = 125

5 3x+5−5 x+5 =5 3+5 1

13x+5(x+5)=3+1

13x+5−x−5=3+1

42x=4

x = 2