Question

Log 25 + log 4 -log 10= ​

Answer 1

Hey Buddy

Here's The Answer

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Here are some properties of logarithm which will be. used here.

=> log a + log b = log ( a × b )

=> log a - log b = log ( a / b )

=> log aᵇ = b log a

=> log 10 = 1

Now,

==> log 25 + log 4 - log 10

=> log ( 25 × 4 ) - log 10

=> log ( 100 ) - log 10

=> log 10² - log 10

=> 2 log 10 - 10

=> log 10

=> 1

Hope It Helps.

Answer 2

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$\blacksquare$FORMULA TO BE IMPLEMENTED

RULE : 1

$\displaystyle \: log_{10}(a) + log_{10}(b) = log_{10}({a}{b} )$

RULE : 2

$log_{x}( {y}^{m} ) = m log_{x}(y)$

RULE : 3

$log_{x}(x) = 1$

$\blacksquare$QUESTION

FIND :

$log25 \: + log4 - log10$

CALCULATION

$log25 \: + log4 - log10$

$= log_{10}(25) + log_{10}(4) - log_{10}(10)$

$= log_{10}(25 \times 4) - log_{10}(10) \: \: \:( \: by \: \: rule \: \: 1)$

$= log_{10}(100) - 1 \: \: \: (by \: \: rule \: \: 3)$

$= log_{10}( {10}^{2} ) - 1$

$= 2log_{10}(10) - 1 \: \: \: ( \: by \: \: rule \: 2\: )$

$= 2 - 1 \: \: ( \: \: by \: rule \: 3 \: )$

$= 1$