Asked by Yeet
h(x) = 3^x
How would you go about solving this question: Solve the equation h-1(x) = 2
Thanks in advance!
How would you go about solving this question: Solve the equation h-1(x) = 2
Thanks in advance!
Answers
Answered by
oobleck
You want to find g(x) = h^-1(x)
switch variables and solve for g
x = 3^g
log<sub><sub>3</sub></sub>x = g
so, h^-1(x) = log<sub><sub>3</sub></sub>x
^ and log are inverse operators, just like + and - or * and /
switch variables and solve for g
x = 3^g
log<sub><sub>3</sub></sub>x = g
so, h^-1(x) = log<sub><sub>3</sub></sub>x
^ and log are inverse operators, just like + and - or * and /
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