Question

The equation 3^(x-1) + 5^(x-1) = 34 has how many sol^n?

Answer 1

if \(x>3\) then \(3^{x-1}+5^{x-1} >34 \)
if \(x<3\) then \(3^{x-1}+5^{x-1} <34 \)

so clearly \(x=3\)

Answer 2

The answer given by @mukushla is verified correctly : http://www.wolframalpha.com/input/?i=solve+%3A+3%5E%7Bx-1%7D%2B5%5E%7Bx-1%7D%3D34+

Answer 3

@mukushla i nt understand

Answer 4

see if \(x>3\) then \(3^{x-1}+5^{x-1}>3^{2}+5^{2}=9+25=34 \) since \( x-1>2\)

and the same thing for \(x<3 \)

Answer 5

Why did u take it as 3

Answer 6

because i knew that ... \(3^2+5^2=34 \)

Answer 7

thxx

Answer 8

yw :)

Answer 9

so.........hw and sol^n

Answer 10

3...?

Answer 11

yes just x=3

Answer 12

@mukushla u r frm India

Answer 13

nope...im from iran