What is the answer to x^{-3}=log_{3}(x) ?

The answer to x^{-3}=log_{3}(x) is x=\sqrt[3]{3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{-3}=log_{3}(x)

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

x = 33

Decimal

x = 1.44224 \dots

Solution steps

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

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

3^{x^{- 3}} = 3^{l o g_{3} (x)}

Simplify

3^{x^{- 3}} : 3^{\frac{1}{x ^{3}}}

Simplify

3^{l o g_{3} (x)} : x

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

Solve

3^{\frac{1}{x ^{3}}} = x : x = 33

x = 33

Verify Solutions:

x = 33

True

The solution is

x = 33

2 ln (x) = ln (4)

ln (x^{2} + 1) = 8

ln (x + 8) = 3

8 + lo g_{8} (x) = 8

lo g_{10} (1 0^{x} + 2) = 2 x + 1

What is the answer to x^{-3}=log_{3}(x) ?
The answer to x^{-3}=log_{3}(x) is x=\sqrt[3]{3}
Solve for x: x^{-3}=log_{3}(x)
The solution is x=\sqrt[3]{3}