en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3^{5log_{3}(2)}

Solution

simplify

3^{5 l o g_{3} (2)}

Solution

32

Solution steps

3^{5 l o g_{3} (2)}

Apply exponent rule:

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

3^{5 l o g_{3} (2)} = (3^{l o g_{3} (2)})^{5}

= (3^{l o g_{3} (2)})^{5}

Apply log rule:

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

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

= 2^{5}

2^{5} = 32

= 32

Popular Examples

simplify (1+3i)/(6+8i)simplify

\frac{1 + 3 i}{6 + 8 i}

factor 4-2sqrt(2)factor

4 - 22

simplify x^3*x^{-1}simplify

x^{3} \cdot x^{- 1}

factor-x^3+3x^2+4x-12 factor

- x^{3} + 3 x^{2} + 4 x - 12

simplify (|x^2|)/(x^2)simplify

\frac{x ^{2}}{x ^{2}}

Frequently Asked Questions (FAQ)

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