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aarav4991:
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Answer:
1 - 4a + 2b - 3c
Hello! I hope this helps you. Have a great day!
Step-by-step explanation:
All logs are base 10.
log x = log (100)^a = a × log 100 = a × log 10² = a × 2 = 2a
log y = log (10000)^b = b × log 10000 = b × log 10⁴ = b × 4 = 4b
log z = log 10^c = c
log (10√y / (x²z³) )
= log 10 + log √y - log x² - log z³
= 1 + (1/2) × log y - 2 × log x - 3 × log z
= 1 + (1/2) × 4b - 2 × 2a - 3 × c
= 1 - 4a + 2b - 3c
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