Express this equation into a single logarithm
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Express this equation into a single logarithm

[From: ] [author: ] [Date: 11-10-07] [Hit: ]
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Equation: 2log(base)2 (a) - 3 - log(base)10 (25)

I'm on the right track, but I'm having trouble about what to do with the '-3'

The answer is log(base)10 (a^2/25000)
but I got log(base)10 (a^2/25) - 3

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... 2. log₁₀ a - 3 - log₁₀ 25

= log₁₀ (a²) - [ 3( 1 ) + log₁₀ 25 ]

= log₁₀ (a²) - [ 3 ( log₁₀ 10 ) + log₁₀ 25 ]

= log₁₀ (a²) - [ ( log₁₀ (10)³) + log₁₀ 25 ]

= log₁₀ (a²) - log₁₀ ((1000)(25))

= log₁₀ ( a² / 25000 ) ........................................ Ans.
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You are Welcome, Madeline !

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3 = log(base10) 1000

You can finish the calculation
1
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