What is 1/4 log_{10}(0.485)+1/3 log_{10}(0.36) ?

The solution to 1/4 log_{10}(0.485)+1/3 log_{10}(0.36) is log_{10}(\sqrt[4]{97/200}\sqrt[3]{9/25})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/4 log_{10}(0.485)+1/3 log_{10}(0.36)

simplify

\frac{1}{4} lo g_{10} (0.485) + \frac{1}{3} lo g_{10} (0.36)

Decimal Notation

- 0.22646 \dots

Solution steps

\frac{1}{4} lo g_{10} (0.485) + \frac{1}{3} lo g_{10} (0.36)

\frac{1}{4} lo g_{10} (0.485) = \frac{1}{4} lo g_{10} (\frac{97}{200})

\frac{1}{3} lo g_{10} (0.36) = \frac{1}{3} lo g_{10} (\frac{9}{25})

= \frac{1}{4} lo g_{10} (\frac{97}{200}) + \frac{1}{3} lo g_{10} (\frac{9}{25})

\frac{1}{4} lo g_{10} (\frac{97}{200}) = lo g_{10} ((\frac{97}{200})^{\frac{1}{4}})

\frac{1}{3} lo g_{10} (\frac{9}{25}) = lo g_{10} ((\frac{9}{25})^{\frac{1}{3}})

= lo g_{10} ((\frac{97}{200})^{\frac{1}{4}}) + lo g_{10} ((\frac{9}{25})^{\frac{1}{3}})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} ((\frac{97}{200})^{\frac{1}{4}}) + lo g_{10} ((\frac{9}{25})^{\frac{1}{3}}) = lo g_{10} ((\frac{97}{200})^{\frac{1}{4}} (\frac{9}{25})^{\frac{1}{3}})

= lo g_{10} ((\frac{97}{200})^{\frac{1}{4}} (\frac{9}{25})^{\frac{1}{3}})

ln (\frac{2 x}{y ^{4}})

ln (2) + ln (x + 1) - \frac{ln ( 4 x + 7 )}{3}

lo g_{6} (\frac{36 - 4}{21 6 ^{3}})

lo g_{8} ((\frac{x ^{3} y}{z})^{2})

- ln (57) + ln (123)

What is 1/4 log_{10}(0.485)+1/3 log_{10}(0.36) ?
The solution to 1/4 log_{10}(0.485)+1/3 log_{10}(0.36) is log_{10}(\sqrt[4]{97/200}\sqrt[3]{9/25})