Question

The equation 3^(x-1) + 5^(x-1) = 34 has hw many solutions?

Answer 1

how about u solve it bro

Answer 2

No idea lol,

Answer 3

use wolfram

Answer 4

No...wolfram

Answer 5

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

only answer is \(x=3)

Answer 6

hm....the answer should be no solution!

Answer 7

but \(x=3\) satisfies the equation

Answer 8

@mukushla Can u expl ur method...

Answer 9

\(3^x\) and \(5^x\) both are increasing functions...

Answer 10

any other method such taking ex x-2 =t like that

Answer 11

yep ... that's the only way i know ... analytic approach

Answer 12

.the answer should be no solution!

Answer 13

impossible ....... let \(x=3\) then \(3^{3-1} + 5^{3-1}=3^2+5^2=9+25=34\)

Answer 14

May be my book is wrong! thxx

Answer 15

lol

Answer 16

also...lol..:D