SOLUTION: 1. Solve the following equations a) 5^(2x) + 5^(x) - 6 = 0 (hint let y = 5^(x) b)9^(x)-5(3^(x))+6 = 0 ( hint let y = 3^(x) Can you please help me out? Thanks so much in advance:

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Solve the following equations a) 5^(2x) + 5^(x) - 6 = 0 (hint let y = 5^(x) b)9^(x)-5(3^(x))+6 = 0 ( hint let y = 3^(x) Can you please help me out? Thanks so much in advance:      Log On


   

Question 744488: 1. Solve the following equations
a) 5^(2x) + 5^(x) - 6 = 0 (hint let y = 5^(x)
b)9^(x)-5(3^(x))+6 = 0 ( hint let y = 3^(x)
Can you please help me out? Thanks so much in advance:)
Can you please show all the steps it would really help me understand:)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
5^(2x) + 5^(x) - 6 = 0 let y = 5^(x)
y%5E2%2By-6=0

(y+3)(y-2)=0
y=-3
OR
y=2
5^x=2
log 5^x=log2
xlog5 = log 2
x=log2/log5