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Svetach [21]
2 years ago
14

Please solve, my teacher is stressing me out

Mathematics
1 answer:
Dovator [93]2 years ago
6 0
X= -3.8 this would be it

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1/3log125/8-2log2/5+log80/125
morpeh [17]

Answer:

3log2

Step-by-step explanation:

Given

\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )

Required

Solve

Apply logarithm rules

log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )

log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )

Apply quotient rule

log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )

log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )

log( \frac{100}{8} ) + log( \frac{80}{125} )

Apply product rule

log( \frac{100*80}{8*125} )

log( \frac{8000}{1000} )

log(8)

Express 8 as 2^3

log(2^3)

3log2

8 0
3 years ago
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