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)(1)

Solution

simplify

lo g_{10} (4) (1)

Solution

2 lo g_{10} (2)

+1

Decimal

0.60205 \dots

Solution steps

lo g_{10} (4) (1)

Apply rule:

(a) = a

(1) = 1

= lo g_{10} (4) \cdot 1

Apply rule:

a \cdot 1 = a

= lo g_{10} (4)

Factor the number:

4 = 2^{2}

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

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)

Popular Examples

simplify (2+3i)(8-5i)simplify

(2 + 3 i) (8 - 5 i)

factor+15a^2b-30ab factor

+ 15 a^{2} b - 30 ab

simplify-6\times 9 simplify

- 6 \times 9

simplify 2x^2\times 3x^3 simplify

2 x^{2} \times 3 x^{3}

simplify cos(2x)\times 2+4sin^2(x)-2 simplify

cos (2 x) \times 2 + 4 sin^{2} (x) - 2

Frequently Asked Questions (FAQ)

What is log_{10}(4)(1) ?
The solution to log_{10}(4)(1) is 2log_{10}(2)