What is simplify-log_{10}(2.52*10^{25}) ?

The solution to simplify-log_{10}(2.52*10^{25}) is -log_{10}(2.52)-25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(2.52*10^{25})

simplify

- lo g_{10} (2.52 \cdot 1 0^{25})

- lo g_{10} (2.52) - 25

Decimal Notation

- 25.40140 \dots

Solution steps

- lo g_{10} (2.52 \cdot 1 0^{25})

Apply log rule:

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

lo g_{10} (2.52 \cdot 1 0^{25}) = lo g_{10} (2.52) + lo g_{10} (1 0^{25})

= - (lo g_{10} (2.52) + lo g_{10} (1 0^{25}))

Apply log rule:

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

lo g_{10} (1 0^{25}) = 25 lo g_{10} (10)

= - (lo g_{10} (2.52) + 25 lo g_{10} (10))

25 lo g_{10} (10) = 25

= - (lo g_{10} (2.52) + 25)

Distribute parentheses

= - (lo g_{10} (2.52)) - (25)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (2.52) - 25

lo g_{2} (3) + lo g_{2} (x) + 2 lo g_{2} (y)

lo g_{10} (H^{3} O)

lo g_{4} (10000 x)

ln (5 t)

What is simplify-log_{10}(2.52*10^{25}) ?
The solution to simplify-log_{10}(2.52*10^{25}) is -log_{10}(2.52)-25