can any1 solve this maths question.

[immortal]

3^(x+2)=3^x+3^2

[Saladin]

Working on it.

[nid404]

base is the same

so x+2= (x+3)²
x+2 = x²+6x+9
x²+5x+7=0

solve the quadratic equation
u get x= -2.5

[immortal]

3^x+2=3^x+3²

as per calculator, i get ans as 0.1072 (4s.f)
i wanna 2 kno how 2 derive at this ans.

[nid404]

3^x+2=3^x+3²

as per calculator, i get ans as 0.1072 (4s.f)
i wanna 2 kno how 2 derive at this ans.

I guess I haven't gotten ur question right then

Is it
3^x+2=3^x+3²
or is it
3^x+2=3^(x+3)2

[immortal]

It's da 1st one  3^x+3=3^x+3²
tnk nid 4 ur help.

[Saladin]

I guess I haven't gotten ur question right then

Is it
3^x+2=3^x+3²
or is it
3^x+2=3^(x+3)2

Thats is my question as well.

[nid404]

not possible i think

[immortal]

Cn any Ans this question,,PLZ

[Saladin]

The answer should be

[nid404]

The answer should be

how would you derive that??

[immortal]

the ans is 0.1072 (4s.f) i think,cn any1 show da steps 2 derive at this

[nid404]

the ans is 0.1072 (4s.f) i think,cn any1 show da steps 2 derive at this

nope that can't be...i crosschecked

[immortal]

I got da ans.
3^x+2=3^x+3²
3^x*3²=3^x+3²
9*3^x=3^x+9
9*3^x-3^x=9
3^x(9-1)=9
3^x*8=9
3^x=9/8
x=ln(9/8)/ln3
x=0.107(3 s.f)

It cud also b done using iteration.

[Ghost Of Highbury]

@immortal - u answered ur own doubt, lol.