Question

please answer this question

Answer 1

Given:  6(4^x+9^x)=13×6^x  6.4^x + 6.9^x = 13×6^x 
now divide both sides by 6.6^x we get
6.4^x/6.6^x + 6.9^x/6.6^x = 13×6^x /6.6^x
=> (4/6)^x +(9/6)^x = 13/6=> (2/3)^x +(3/2)^x = 13/6
 Substitute diffrent integers and test (using trail and error method)
we will get the answer= 1 and -1