Exponents: If 25^(x-1) = 5^(2x-1) - 100, find value of x

L

lPing7

New member
Joined
Sep 15, 2014
Messages
26
If 25^(x-1) = 5^(2x-1) - 100, find value of x
Now I can make this:
5^(2x-2) = 5^(2x-1) - (2^2 * 5^2)
How do I continue further?
Thanks in advance

P.S Hope question is clear unlike previous ones
 
Last edited by a moderator:
lPing7 said:
If 25^(x-1) = 5^(2x-1) - 100, find value of x
Now I can make this:
5^(2x-2) = 5^(2x-1) - (2^2 * 5^2)
How do I continue further?
Thanks in advance

P.S Hope question is clear unlike previous ones
Click to expand...
5^(2x-2) = 5^(2x) * 5^(-2)

ln(5^(2x)) = 2x ln(5)
EDIT: But you probably won't need to do that if you work it out.
 
Last edited:
lPing7 said:
If 25^(x-1) = 5^(2x-1) - 100, find value of x
Now I can make this:
5^(2x-2) = 5^(2x-1) - (2^2 * 5^2)
How do I continue further?
Thanks in advance

P.S Hope question is clear unlike previous ones
Click to expand...

25^(x-1) = 5^(2x-1) - 100

52x-2 = 52x-1 - 100

1/25 * 52x = 1/5 * 52x - 100

52x = 5 * 52x - 2500

4 * 52x = 2500

Continue.....
 
You must log in or register to reply here.
Top