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A day full of math games & activities. Find one near you.
Solution:
Given the function f(x) = 0.3(4)x
Let y = f(x) = 0.3(4)x
Apply log on both sides
logy = (0.3)xlog(4)
logy = 0.3x(0.6)
logy = 0.18x
x = logy / 0.18 = f(y)
y = f-1(x)
Swap the variables
f-1(x) = logx /0.18
f-1(6) = log6 / 0.18
f-1(6) = 4.32
Summary:
Given the function f(x) = 0.3(4)x,the value of f-1(6) is 4.32