en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1.7*10^9)

Solution

simplify

ln (1.7 \cdot 1 0^{9})

Solution

ln (1.7) + 9 ln (10)

+1

Decimal Notation

21.25389 \dots

Solution steps

ln (1.7 \cdot 1 0^{9})

Apply log rule:

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

ln (1.7 \cdot 1 0^{9}) = ln (1.7) + ln (1 0^{9})

= ln (1.7) + ln (1 0^{9})

Apply log rule:

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

ln (1 0^{9}) = 9 ln (10)

= ln (1.7) + 9 ln (10)

Popular Examples

simplify 1/2 ln(10)+1/2 ln(20)simplify

\frac{1}{2} ln (10) + \frac{1}{2} ln (20)

simplify 3ln(1/2 3)+1 simplify

3 ln (\frac{1}{2} 3) + 1

simplify ln(x^2)-ln(y^2)+ln(l^2)simplify

ln (x^{2}) - ln (y^{2}) + ln (l^{2})

expand log_{10}((1/4)_{2})+1 expand

lo g_{10} ((\frac{1}{4})_{2}) + 1

simplify ln(8)-ln(e^y)simplify

ln (8) - ln (e^{y})

Frequently Asked Questions (FAQ)

What is ln(1.7*10^9) ?
The solution to ln(1.7*10^9) is ln(1.7)+9ln(10)