What is 0.04+0.36log_{10}(2)+0.57log_{10}(5) ?

The solution to 0.04+0.36log_{10}(2)+0.57log_{10}(5) is 0.04+log_{10}(3.21206…)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.04+0.36log_{10}(2)+0.57log_{10}(5)

simplify

0.04 + 0.36 lo g_{10} (2) + 0.57 lo g_{10} (5)

0.04 + lo g_{10} (3.21206 \dots)

Decimal

0.54678 \dots

Solution steps

0.04 + 0.36 lo g_{10} (2) + 0.57 lo g_{10} (5)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.36 lo g_{10} (2) = lo g_{10} (2^{0.36})

= 0.04 + lo g_{10} (2^{0.36}) + 0.57 lo g_{10} (5)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.57 lo g_{10} (5) = lo g_{10} (5^{0.57})

= 0.04 + lo g_{10} (2^{0.36}) + lo g_{10} (5^{0.57})

Apply log rule:

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

lo g_{10} (2^{0.36}) + lo g_{10} (5^{0.57}) = lo g_{10} (2^{0.36} \cdot 5^{0.57})

= 0.04 + lo g_{10} (2^{0.36} \cdot 5^{0.57})

2^{0.36} \cdot 5^{0.57} = 3.21206 \dots

= 0.04 + lo g_{10} (3.21206 \dots)

ln (\frac{x ^{3} y}{z})

lo g_{10} (\frac{x}{y ^{3}})

ln (\frac{1}{0.1})

3 ln (2) - 2 ln (x) + ln (y)

lo g_{10} (\frac{a b ^{2} c}{4})

What is 0.04+0.36log_{10}(2)+0.57log_{10}(5) ?
The solution to 0.04+0.36log_{10}(2)+0.57log_{10}(5) is 0.04+log_{10}(3.21206…)