What is the answer to log_{1/3}(x)=sqrt(1/27) ?

The answer to log_{1/3}(x)=sqrt(1/27) is x=(1/3)^{1/(3sqrt(3))}

Solve for x: log_{1/3}(x)=sqrt(1/27)

The solution is x=(1/3)^{1/(3sqrt(3))}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

lo g_{\frac{1}{3}} (x) = \frac{1}{27}

x = (\frac{1}{3})^{\frac{1}{3 3}}

Decimal

x = 0.80942 \dots

Solution steps

lo g_{\frac{1}{3}} (x) = \frac{1}{27}

Apply log rules

x = (\frac{1}{3})^{\frac{1}{3 3}}

(lo g_{10} (x))^{2} + 2 lo g_{10} (x) = 3

lo g_{10} (x) + lo g_{10} (x + 5) = 1

lo g_{10} (x) + lo g_{10} (x + 5) = 6

lo g_{3} (x) = 8

y, - y = lo g_{10} (x)

What is the answer to log_{1/3}(x)=sqrt(1/27) ?
The answer to log_{1/3}(x)=sqrt(1/27) is x=(1/3)^{1/(3sqrt(3))}
Solve for x: log_{1/3}(x)=sqrt(1/27)
The solution is x=(1/3)^{1/(3sqrt(3))}