en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(4)(8)

Solution

simplify

lo g_{10} (4) (8)

Solution

16 lo g_{10} (2)

+1

Solution steps

lo g_{10} (4) (8)

Apply rule:

(a) = a

(8) = 8

= lo g_{10} (4) \cdot 8

Factor the number:

4 = 2^{2}

= lo g_{10} (2^{2}) \cdot 8

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{10} (2^{2}) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) \cdot 8

Multiply the numbers:

2 \cdot 8 = 16

= 16 lo g_{10} (2)

Popular Examples

0.0394 \div 100

simplify \sqrt[3]{-8x^{12}y^9}simplify

\frac{76}{6}

simplify+4*+3/14 simplify

+ 4 \cdot + \frac{3}{14}

simplify 2/(\frac{2){x-4}-4}simplify

\frac{2}{\frac{2}{x - 4} - 4}

Frequently Asked Questions (FAQ)

What is log_{10}(4)(8) ?
The solution to log_{10}(4)(8) is 16log_{10}(2)