en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6^{3log_{6}(2)}

Solution

simplify

6^{3 l o g_{6} (2)}

Solution

8

Solution steps

6^{3 l o g_{6} (2)}

Apply exponent rule:

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

6^{3 l o g_{6} (2)} = (6^{l o g_{6} (2)})^{3}

= (6^{l o g_{6} (2)})^{3}

Apply log rule:

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

6^{l o g_{6} (2)} = 2

= 2^{3}

2^{3} = 8

= 8

Popular Examples

simplify csc^2(θ)sin(θ)simplify

csc^{2} (θ) sin (θ)

simplify-(2.1)/(5.6)simplify

- \frac{2.1}{5.6}

simplify (x/2)^2 simplify

(\frac{x}{2})^{2}

\frac{105}{4}

simplify 10^{-2.1}simplify

1 0^{- 2.1}

Frequently Asked Questions (FAQ)

What is 6^{3log_{6}(2)} ?
The solution to 6^{3log_{6}(2)} is 8