What is expand log_{10}((zsqrt(x))/y) ?

The solution to expand log_{10}((zsqrt(x))/y) is log_{10}(z)+log_{10}(sqrt(x))-log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((zsqrt(x))/y)

expand

lo g_{10} (\frac{z x}{y})

lo g_{10} (z) + lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{z x}{y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{z x}{y}) = lo g_{10} (z x) - lo g_{10} (y)

= lo g_{10} (z x) - lo g_{10} (y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (z x) = lo g_{10} (z) + lo g_{10} (x)

= lo g_{10} (z) + lo g_{10} (x) - lo g_{10} (y)

4 ln (\frac{1}{2 ^{k}}) - 4 k + 4 ln (2) k^{2} - 8 k^{2}

\frac{1}{200} ln (80)

ln (\frac{760}{600})

- lo g_{10} (1.833 \cdot 1 0^{- 5})

ln (\frac{27}{40})

What is expand log_{10}((zsqrt(x))/y) ?
The solution to expand log_{10}((zsqrt(x))/y) is log_{10}(z)+log_{10}(sqrt(x))-log_{10}(y)