en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8^{3log_{8}(2)}

Solution

simplify

8^{3 l o g_{8} (2)}

Solution

8

Solution steps

8^{3 l o g_{8} (2)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

8^{3 l o g_{8} (2)} = (8^{l o g_{8} (2)})^{3}

= (8^{l o g_{8} (2)})^{3}

Apply log rule:

a^{l o g_{a} (b)} = b

8^{l o g_{8} (2)} = 2

= 2^{3}

2^{3} = 8

= 8

Popular Examples

simplify \sqrt[3]{8x^{30}}simplify

simplify 20/500 simplify

\frac{20}{500}

simplify-1/4+4/5 simplify

- \frac{1}{4} + \frac{4}{5}

rationalize 8/(3sqrt(2))rationalize

\frac{8}{3 2}

simplify-1/4 (20z+24)simplify

- \frac{1}{4} (20 z + 24)

Frequently Asked Questions (FAQ)

What is 8^{3log_{8}(2)} ?
The solution to 8^{3log_{8}(2)} is 8