What is simplify-log_{10}(1.77*10^4) ?

The solution to simplify-log_{10}(1.77*10^4) is -log_{10}(1.77)-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1.77*10^4)

simplify

- lo g_{10} (1.77 \cdot 1 0^{4})

- lo g_{10} (1.77) - 4

Decimal Notation

- 4.24797 \dots

Solution steps

- lo g_{10} (1.77 \cdot 1 0^{4})

Apply log rule:

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

lo g_{10} (1.77 \cdot 1 0^{4}) = lo g_{10} (1.77) + lo g_{10} (1 0^{4})

= - (lo g_{10} (1.77) + lo g_{10} (1 0^{4}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{4}) = 4 lo g_{10} (10)

= - (lo g_{10} (1.77) + 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (1.77) + 4)

Distribute parentheses

= - (lo g_{10} (1.77)) - (4)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (1.77) - 4

ln (\frac{x}{15})

ln (4) - (ln (4) - ln (3))

lo g_{1000000} (2 π)

ln (\frac{77}{37})

\frac{1}{2} ln (x) + ln (2)

What is simplify-log_{10}(1.77*10^4) ?
The solution to simplify-log_{10}(1.77*10^4) is -log_{10}(1.77)-4