3 years ago

Solve the equation for x, accurate to three decimal places: log3 (log2 x) = 1.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Make both sides powers of 3:

$3^{\log_3(\log_2x)}=3^1\implies\log_2x=3$

Make both sides powers of 2:

$2^{\log_2x}=2^3\implies x=8=8.000$

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Answer:

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Step-by-step explanation:

Step 1: Add

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

1 + 2 = 3

3 + 3 = 6

6 + 4 = 10

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46 + 2 = 48

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51 + 4 = 55

55 + 5 = 60

60 + 6 = 66

66 + 7 = 73

73 + 8 = 81

81 + 9 = 90

90 + 10 = 100

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Step 2: Multiply

100 * 2

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