F(x) = x -4. Find x when f(x) = 16
1 answer:
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Answer:
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
Please, see attached picture.
Step-by-step explanation:
Your full question is attached in the picture below
To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.
See, second image.
The answers are
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
Yes, you're right! The first step is rewriting the equation as
Subtract from both sides:
Use the property to rewrite the equation as
Divide both sides by
Alternative strategy:
Consider both sides as exponents of e:
Use to write
Divide both sides by a:
Consider the logarithm base b of both sides:
The two numbers are the same: you can check it using the rule for changing the base of logarithms