Question

The value of logabc a3b3c3 is

Answer 1

Answer:

Answer is 3

Step-by-step explanation:

logabc (abc)^3

3logabc abc

=3

Answer 2

$\sf The \: value \: of \: \: log_{abc}( {a}^{3} {b}^{3} {c}^{3} ) = \bf 3$

Given :

$\sf \: log_{abc}( {a}^{3} {b}^{3} {c}^{3} )$

To find : The value

Tip :

Formula to be implemented

$\sf{1. \: \: \: log( {a}^{n} ) = n log(a) }$

$\sf{2. \: \: log(ab) = log(a) + log(b) }$

$\displaystyle \sf{3. \: \: log \bigg( \frac{a}{b} \bigg) = log(a) - log(b) }$

$\sf{4. \: \: log_{a}(a) = 1}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf \: log_{abc}( {a}^{3} {b}^{3} {c}^{3} )$

Step 2 of 2 :

Find the value

$\sf \: log_{abc}( {a}^{3} {b}^{3} {c}^{3} )$

$\sf = log_{abc} {(abc)}^{3}$

$\sf =3 \times log_{abc} {(abc)}^{}$

$\sf =3 \times 1$

$\sf =3$

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