Simplify: ₁0} 6 - 3 log₁0} 3 + \; 2/3 ₁0} 27

Correct Answer is : log⁡102₁0}²log102

Correct Answer is : log⁡102₁0}²log102

Test Index

WAEC Mathematics 2019 Paper

Question : 14

Total: 50

Simplify:

\log_{10}

_{10}

\; \frac{2}{3} \log_{10} 27

Solution:

log $_{10}$ 6 - log $_{10}$ 3 $^3$ + log $_{10}$ ( $\; \sqrt[3]{27}$ ) $^2$

= log $_{10}$ 6 - log $_{10}$ 27 + log $_{10}$ 9

= log $_{10}$ $\; \frac{6 \times 9}{27}$

= log $_{10}$ 2

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