Question

simplify log5+3log2-log10​

Answer 1

Hiii....friend,

Here is ur answer,

$= > log(5) + 3 log(2) - log(10)$

$= > log(5) + 3 log(2) - log(5 \times 2)$

$= > log(5) + 3 log(2) - log(5) - log(2)$

$= > 2 log(2)$

$= > 2 \times 0.3010$

$= > 0.6020$

:-) Hope it helps u.

Answer 2

Answer:

Required answer is $2 log(2)$

Step-by-step explanation:

Given,

$log(5) + 3 log(2) - log(10)$

$= log(5) + log( {2}^{3} ) - log(10) \\ = log(5) + log(8) - log(10)$

We know,

$log(x) + log(y) = log(xy)$

Now,

$= log(5 \times 8) - log(10) \\ = log(40) - log(10)$

Again,

$log(x) - log(y) = log( \frac{x}{y} )$

So,

$log(40) - log(10) \\ = log( \frac{40}{10} ) \\ = log(4) \\ = log( {2}^{2} ) \\ = 2 log(2)$

This is a problem of Logarithm.

Some important Logarithm formulas,

$log_{x}(1) = 0 \\ log_{x}(0) = 1 \\ log_{x}(y) = \frac{ log(x) }{ log(y) } \\ log( {x}^{y} ) = y log(x) \\ log(x) + log(y) = log(xy) \\ log(x) - log(y) = log( \frac{x}{y} ) \\ log_{x}(x) = 1$

Know more about Logarithm, https://brainly.in/question/21862262

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