Question

Find the value of log25 125 - log8 4.
(a)6/5
(b) 9/5
(c) 5/6
(d) 9/8​

Answer 1

Answer:

c will be correct answer.

Answer 2

Answer:

Value of the given term is 5/6.

Option (c) is the correct answer.

Step-by-step explanation:

Given,

${ log_{25}(125) } - log_{8}(4)$

$\frac{ log(125) }{ log(25) } - \frac{ log(4) }{ log(8) }$

$\frac{ log( {5}^{3} ) }{ log( {5}^{2} ) } - \frac{ log( {2}^{2} ) }{ log( {8}^{3} ) }$

$\frac{3 log(5) }{2 log(5) } - \frac{2 log(2) }{3 log(2) }$

$\frac{3}{2} - \frac{2}{3} = \frac{9 - 4}{6} = \frac{5}{6}$

Value of the given term is 5/6.

Here applied formulas are

$1) \: \: log_{y}(x) = \frac{ log(x) }{ log(y) }$

$2) \: \: log( {x}^{y} ) = y log(x)$