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Usimov [2.4K]
3 years ago
6

Number 5. Write log16(8)=3/4 as an exponential equation. Correct answer will get brainliest.

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

8=16^(3/4)

Step-by-step explanation:

Since logarithms and exponential functions are inverse of one another we have:

b^{log_{b}(k)}=k

log_{16}(8)=\frac{3}{4} \\\\16^{log_{16}(8)}=16^\frac{3}{4}

8=16^{\frac{3}{4}}


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sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
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cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

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