We need to know some log properties
1. when the base is not stated, assume that it is base 10 or log₁₀
2.
-log(10^-1)=
answer is D. -1
1. when the base is not stated, assume that it is base 10 or log₁₀
2.
-log(10^-1)=
answer is D. -1
The dough for the world's largest pizza was baked in 5,234 batches. Suppose it took the chefs 3 hours to bake the first 327 batc
hes, and they bake the rest of the batches at the same rate. How long would it take to bake all the batches? Explain your reasoning.
1 answer:
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Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
