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3 years ago

Help please. A) 60 B)120 C)140

Mathematics

1 answer:

kvasek [131]3 years ago

8 0

Hi there,

The answer to your question is:

B. 120

Hope this helped,

Sincerely,

Dus4nR

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Answer:

Step-by-step explanation:

From table 1,

f(x) = bˣ

For x = -1,

f(-1) = 0.5

0.5 = (b)⁻¹

b = $\frac{1}{0.5}$

b = 2

For x = 1.585,

f(1.585) = 3

3 = $2^{1.585}$

3 = $2^{1}\times2^{0.585}$

$2^{0.585}=\frac{3}{2}$

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For x = 2.585,

f(2.585) = $2^{2.585}$

= $2^{2}\times 2^{0.585}$

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From table 2,

g(x) = $\text{log}_b(x)$

For x = 0.5,

g(0.5) = -1

-1 = $\text{log}_b(0.5)$

b⁻¹ = 0.5

b = 2

For x = 2,

g(2) = 1

1 = $\text{log}_2(2)$

For x = 6,

g(6) = 2.585

2.585 = $\text{log}_2(6)$

2.585 = $\text{log}_2(2\times 3)$

2.585 = $\text{log}_2(2)+\text{log}_2(3)$

2.858 - 1 = $\text{log}_2(3)$

$\text{log}_2(3)=1.585$

For x = 3,

g(3) = $\text{log}_2(3)$

g(3) = 1.585

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