Asked by Jada
I need help finding the inverse of f(x)=7^3x-5 with work shown.
Answers
Answered by
mathhelper
your f(x)=7^3x-5 is ambiguous
did you mean it the way your typed it or
f(x)=7^(3x-5)
The way you typed it:
let y = 7^3x - 5
y + 5 = 7^(3x) , another ambiguity, the way you typed it, it would be
(7^3)(x)
I will go with my last interpretation.
y + 5 = 7^(3x)
step 1 is to interchange the x and y variables , so we get
x + 5 = 7^(3y)
step 2 is to solve this new equation for y, this requires logs
log(x+5) = log ( 7^(3x) )
log(x+5) = 3x(log7)
x = log(x+5)/(3log7) , x > 5
if you meant y = 7^(3x-5)
then we get x = 7^(3y-5), and now take logs of that etc.
did you mean it the way your typed it or
f(x)=7^(3x-5)
The way you typed it:
let y = 7^3x - 5
y + 5 = 7^(3x) , another ambiguity, the way you typed it, it would be
(7^3)(x)
I will go with my last interpretation.
y + 5 = 7^(3x)
step 1 is to interchange the x and y variables , so we get
x + 5 = 7^(3y)
step 2 is to solve this new equation for y, this requires logs
log(x+5) = log ( 7^(3x) )
log(x+5) = 3x(log7)
x = log(x+5)/(3log7) , x > 5
if you meant y = 7^(3x-5)
then we get x = 7^(3y-5), and now take logs of that etc.
Answered by
kjlghibi fyg78
jgip87opgpy8iu
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.