SOLUTION: If f(x) = log3 (x + 1), what is f−1(2)?

SOLUTION: If f(x) = log3 (x + 1), what is f−1(2)?

Algebra.Com

Question 934844: If f(x) = log3 (x + 1), what is f−1(2)?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
}, find inverse
since , we have
,...swap and
...solve for , change the base

...if log same, then

so, inverse is:

now find

RELATED QUESTIONS
Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what (answered by ewatrrr)

If f(x) = log3 (x + 1), what is f−1(2)? (answered by MathLover1)

If f(x) = log3 (x + 1), what is f−1(2)? A) 1 B) 8 C) 10 D) 27 (answered by Edwin McCravy)

If f(x)=(7x+1)/3 − (4x−5)/3, what is the value of f(x)−x? (answered by josgarithmetic)

If f(x) = 4x2 − x + 2, find the following: f(a + 1) = [f(a)]2 = f(a +... (answered by Alan3354)

Please help me with these questions ASAP!! Suppose that f(x)=log3(x-1) a)If f(6)=1.4... (answered by jsmallt9)

f(x)=2+log3^x (answered by longjonsilver)

what is f(-1), if... (answered by fcabanski)

If f(2x+1)=6x+2 what is f(x) (answered by Edwin McCravy,jim_thompson5910,ikleyn)