en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{7}(49n)

Solution

simplify

lo g_{7} (49 n)

Solution

2 + lo g_{7} (n)

Solution steps

lo g_{7} (49 n)

Factor the number:

49 = 7^{2}

= lo g_{7} (7^{2} n)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (7^{2} n) = lo g_{7} (7^{2}) + lo g_{7} (n)

= lo g_{7} (7^{2}) + lo g_{7} (n)

Apply log rule:

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

lo g_{7} (7^{2}) = 2

= 2 + lo g_{7} (n)

Popular Examples

simplify log_{10}(30)+log_{10}(6)simplify

lo g_{10} (30) + lo g_{10} (6)

expand log_{10}((z^5)/(\sqrt[3]{y^2)x})expand

simplify log_{6}(sqrt(x))-log_{6}(x^6)simplify

lo g_{6} (x) - lo g_{6} (x^{6})

simplify ln(x^2-9)-ln(4-x^2)simplify

ln (x^{2} - 9) - ln (4 - x^{2})

simplify ln|x|+ln|y|simplify

ln ∣ x ∣ + ln ∣ y ∣

Frequently Asked Questions (FAQ)

What is log_{7}(49n) ?
The solution to log_{7}(49n) is 2+log_{7}(n)