solve for x?

Question

1. ln(ln(x))=1
x=...1?
2.e^ax=Ce^bx a can not =b?

lost one this one

Answer 1

Question 1
let y = ln x
ln y = 1
y = e^1
y = e
ln x = e
x = e^e

Question 2
e^(ax) = C e^(bx)
If a = b:-
e^(ax) = Ce^(ax)
C = 1
So a could equal b if C = 1

Answer 2

1.x=e^e

Answer 3

1. ln (ln x) = 1

e (ln (ln x)) = e 1
ln x = e 1
e (ln x) = e (e 1)
x = e (e 1)

2. e ax = Ce bx

ln (e ax) = ln Ce bx
ln (e ax) = ln C + ln e bx
ax = ln C + bx
ax - bx = ln C
x ( a - b) = ln C
x = (ln C) / (a - b)

Answer 4

1.
ln(x) = e
x = e^e

2.
ax = lnC + bx
x = lnC/(a-b)