Hello, currypuff!
I will assume that this log is base-ten.
We have: .
Then: .
Take logs: .
. .
Factor: .
Therefdore: .
Divide by 1000: .
Take logs: .
. . Then we have: .
Take logs: .
use the rules:
(1)
and
(2)
identify what are your a,b, and c and then just follow the formula
log both sides.2.) 2^(x-1) = 3^(x-1)
you get
then use law (1) from above and solve for x. remember, ln(2) and ln(3) are constants
divide through by 10003.) 600 = 1000(.04^(.3^x))
you get
log both sides, you get:
apply law (1) above:
divide by , you get:
log both sides again:
now apply law (1) again and continue