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What is the solution of log₁₀(125) + log₁₀(8)?

A) log₁₀(1000)
B) log₁₀(100)
C) log₁₀(10)
D) log₁₀(8)

User Eleco
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1 Answer

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Final answer:

The solution to log₁₀(125) + log₁₀(8) is found by using the property of logarithms that allows addition to be turned into multiplication. The solution is log₁₀(1000), which corresponds to answer choice A.

Step-by-step explanation:

The solution to the problem log₁₀(125) + log₁₀(8) can be found by using the laws of logarithms. According to the property that states loga(m) + loga(n) = loga(mn), we multiply the two numbers inside the logarithms together. Therefore, log₁₀(125) + log₁₀(8) is equivalent to log₁₀(125\*8), which simplifies to log₁₀(1000) because 125 times 8 equals 1000. Hence, the solution is log₁₀(1000), which corresponds to answer choice A) log₁₀(1000).

User Efreed
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