What is the answer to x^{-3+log_{3}(x)}=81 ?

The answer to x^{-3+log_{3}(x)}=81 is x=81,x= 1/3

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)}=81

x^{- 3 + l o g_{3} (x)} = 81

x = 81, x = \frac{1}{3}

Decimal Notation

x = 81, x = 0.33333 \dots

Solution steps

x^{- 3 + l o g_{3} (x)} = 81

Apply exponent rules

(- 3 + lo g_{3} (x)) ln (x) = ln (81)

Solve

(- 3 + lo g_{3} (x)) ln (x) = ln (81) : x = 81, x = \frac{1}{3}

x = 81, x = \frac{1}{3}

Verify Solutions:

x = 81

True

, x = \frac{1}{3}

True

The solutions are

x = 81, x = \frac{1}{3}

12 = 7^{x}

3^{2 x} - 30 \cdot 3^{x} + 81 = 0

(5 x + 11)^{2 x - 1} = (5 x + 11)^{x - 6}

2^{2 x} - 5 (2^{x}) + 6 = 0

a^{a} = 2

What is the answer to x^{-3+log_{3}(x)}=81 ?
The answer to x^{-3+log_{3}(x)}=81 is x=81,x= 1/3
Solve for x: x^{-3+log_{3}(x)}=81
The solution is x=81,x= 1/3