We can explicitly find the inverse. If
is the inverse of
, then

Solve for the inverse :






Then when x = -6, we have

Alternatively, we can first solve for x such that
. Then taking the inverse of both sides,
. (The difference in this method is that we don't compute the inverse for all x.)
We have





The answer is 5, 9 if its not than it is 3,4 that is the answer no problem
Answer:
x = log 7
Step-by-step explanation:
10^x=7
Take the log base 10 on each side
log10 (10^x)=log10 (7)
We dont need to write the 10, it is implied
log(10^x)=log (7)
The exponent goes out front since log a^b = b log a
x log 10 = log 7
log 10 = 1 since the base is 10 log10(10) =1
x = log 7
Part A:
1) 16
2) -25
3) 9
4) -7
I'm too lazy to do the rest, just pay attention in class next time
⇒ 
⇒ 
⇒
; sin(x) ≠ 0, cos(x) ≠ 0
⇒
; sin(x) ≠ 0, cos(x) ≠ 0
⇒ 
Use the Unit Circle to determine when 
Answer: 45° and 315° 