en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{0.04}(125)

Solution

simplify

lo g_{0.04} (125)

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

lo g_{0.04} (125)

Factor the number:

125 = 5^{3}

= lo g_{0.04} (5^{3})

Apply log rule:

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

lo g_{0.04} (5^{3}) = 3 lo g_{0.04} (5)

= 3 lo g_{0.04} (5)

Simplify

lo g_{0.04} (5) : - \frac{1}{2}

= 3 (- \frac{1}{2})

Simplify

= - \frac{3}{2}

Popular Examples

simplify (4x^3y^2)^{3/10}simplify

(4 x^{3} y^{2})^{\frac{3}{10}}

simplify (-1-2i)(-1+2i)simplify

(- 1 - 2 i) (- 1 + 2 i)

simplify 16/20 simplify

\frac{16}{20}

simplify 2x\times 3x^2 simplify

2 x \times 3 x^{2}

factor y^2-11y+24 factor

y^{2} - 11 y + 24

Frequently Asked Questions (FAQ)

What is log_{0.04}(125) ?
The solution to log_{0.04}(125) is -3/2