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tangare [24]
3 years ago
5

Please help me out with thissss

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

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}

2^{0.585}=1.5

For x = 2.585,

f(2.585) = 2^{2.585}

             = 2^{2}\times 2^{0.585}

             = 4 × 1.5 [Since, 2^{0.585}=1.5]

             = 6

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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