Question

Use the quotient property to rewrite log_(10)(x/(100,000))

Answer 1

Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

$log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)$

Answer 2

Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

How to find quotient of a over b/c?

WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

$\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}$

We have to Use the quotient property to rewrite;

$log_{10} \dfrac{x}{(100,000)}$

SO, $log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)$

Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

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