Question

can someone solve this exponential equation
3^x+1=9^2x-1

Answer 1

first..you need to know that 9 = 3^2 so 9^2x-1 = 3^2(2x-1)

do you have an idea on what to do now?

Answer 2

once the base is the same, then the exponents would drop to solve 2(2x-1)=x+1

Answer 3

yes. very good! :DDD

Answer 4

so I get 4x-2=x+1. Solve to get x=1

Answer 5

correct.

Answer 6

I have 2 more I need help with

Answer 7

go ahead

Answer 8

8^x^2-2x=.5

Answer 9

Thanks Luis. How about this one
8^x^2-2x=.5

Answer 10

one moment? Great. I've been working for almost 20 minutes

Answer 11

no. x^2-2x. 2x is part of the exponent to the 8. The 2 is the exponent to the x. Does that make any sense?

Answer 12

WOW. Very impressive. I have no idea what it means. However, the number after the equal sign is .5 or 1/2 not 5.

Answer 13

This is my first time here. What does the medal mean?

Answer 14

Thanks!
Here is my last one if you don't mind:
(2^x^2+1)/(2^x-1)=16