Write as a single logarithm:log2+log3+log4๐‘™๐‘œ๐‘”2+๐‘™๐‘œ๐‘”3+๐‘™๐‘œ๐‘”4ย Select one:A.log9๐‘™๐‘œ๐‘”9B.log10๐‘™๐‘œ๐‘”10C.log12๐‘™๐‘œ๐‘”12D.log24

Question

Write as a single logarithm:log2+log3+log4๐‘™๐‘œ๐‘”2+๐‘™๐‘œ๐‘”3+๐‘™๐‘œ๐‘”4ย Select one:A.log9๐‘™๐‘œ๐‘”9B.log10๐‘™๐‘œ๐‘”10C.log12๐‘™๐‘œ๐‘”12D.log24
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Solution 1

The properties of logarithms state that the sum of logarithms equals the logarithm of their product. Therefore, we can combine the three logarithms into one by multiplying the numbers together.

log2 + log3 + log4 = log(234)

This simplifies to:

log24

So, the answer is D. log24. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee A

udyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.

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