en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{2}(32x^3)

Solution

expand

lo g_{2} (32 x^{3})

Solution

5 + 3 lo g_{2} (x)

Solution steps

lo g_{2} (32 x^{3})

Apply log rule:

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

lo g_{2} (32 x^{3}) = lo g_{2} (32) + lo g_{2} (x^{3})

= lo g_{2} (32) + lo g_{2} (x^{3})

Apply log rule:

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

lo g_{2} (x^{3}) = 3 lo g_{2} (x)

= lo g_{2} (32) + 3 lo g_{2} (x)

lo g_{2} (32) = 5

= 5 + 3 lo g_{2} (x)

Popular Examples

expand log_{10}(2x)expand

lo g_{10} (2 x)

simplify 1/3 [ln(x)+2ln(x+4)]-ln(x-1)simplify

\frac{1}{3} [ln (x) + 2 ln (x + 4)] - ln (x - 1)

simplify 4[ln(z)+ln(z+7)]-2ln(z-7)simplify

4 [ln (z) + ln (z + 7)] - 2 ln (z - 7)

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

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

simplify-log_{10}(2.3*10^{-10})simplify

- lo g_{10} (2.3 \cdot 1 0^{- 10})

Frequently Asked Questions (FAQ)

What is expand log_{2}(32x^3) ?
The solution to expand log_{2}(32x^3) is 5+3log_{2}(x)