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Yuliya22 [10]
3 years ago
10

Rewrite the expression.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
Log₄8 + 3 · log₄x

so the easiest way to do this is to note that these logs are separated by an addition symbol--it isn't "log₄8 + 3" times "log₄x"

log₄8
plus
3 · log₄x

for the second log, you can condense it with log properties/rules: the coefficient out front, when you condense it, becomes the exponent for the argument of your log:
3 · log₄x = log₄(x³)

so, having condensed that, your equation reads:

log₄8 + log₄(x³)

you could technically evaluate the first log, but the question wants both of these to become a single logarithm, which means you want to combine them. log properties state that if logs are being added, you can multiply their arguments (for example: logₓab = logₓa + logₓb)

you just want to apply that property to this, so you'll be multiplying your arguments 8 and x³:

log₄(8x³) is the answer, expressed as one logarithm.
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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Step-by-step explanation:

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