Evaluate log5(y² x^5 ÷ 125 b¹/2})

Correct Answer is : 2log5y + 5log5x − ½ log5b −3

2log 5 y + 5log 5 x − ½ log 5 b −3

Correct Answer is : 2log5y + 5log5x − ½ log5b −3

Test Index

JAMB Mathematics 2015 Paper

Question : 42

Total: 61

Evaluate log5(

y^2 x^5 \div 125 b^{\frac{1}{2}})

Solution:

$\log_{5}\left(y^{2} x^{5} \div 125 b^{\frac{1}{2}}\right)$

= $\log_{5} y^{2} + \log_{5} x^{5} - [\log_{5} 125 + \log_{5} b^{\frac{1}{2}}$

= $2\log_{5} y + 5\log_{5} x - \log_{5} 5^{3} - \frac{1}{2}\log_{5} b$

= $2\log_{5} y + 5\log_{5} x - 3 - \frac{1}{2}\log_{5} b$

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