What is simplify-log_{10}(1.15*10^{-7}) ?

The solution to simplify-log_{10}(1.15*10^{-7}) is -log_{10}(1.15)+7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1.15*10^{-7})

simplify

- lo g_{10} (1.15 \cdot 1 0^{- 7})

- lo g_{10} (1.15) + 7

Decimal Notation

6.93930 \dots

Solution steps

- lo g_{10} (1.15 \cdot 1 0^{- 7})

Apply log rule:

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

lo g_{10} (1.15 \cdot 1 0^{- 7}) = lo g_{10} (1.15) + lo g_{10} (1 0^{- 7})

= - (lo g_{10} (1.15) + lo g_{10} (1 0^{- 7}))

Apply log rule:

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

lo g_{10} (1 0^{- 7}) = - 7 lo g_{10} (10)

= - (lo g_{10} (1.15) - 7 lo g_{10} (10))

7 lo g_{10} (10) = 7

= - (lo g_{10} (1.15) - 7)

Distribute parentheses

= - (lo g_{10} (1.15)) - (- 7)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - lo g_{10} (1.15) + 7

ln (36) - ln (8)

3 lo g_{10} (X) - 4 lo g_{10} (y)

ln (- 6 \cdot e^{- x})

3.36 + lo g_{10} (\frac{x}{0.5})

5 ln (2 x) + 5

What is simplify-log_{10}(1.15*10^{-7}) ?
The solution to simplify-log_{10}(1.15*10^{-7}) is -log_{10}(1.15)+7