What is the answer to log_{3}(x)+log_{x}(9)=3 ?

The answer to log_{3}(x)+log_{x}(9)=3 is x=9,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{3}(x)+log_{x}(9)=3

lo g_{3} (x) + lo g_{x} (9) = 3

x = 9, x = 3

Solution steps

lo g_{3} (x) + lo g_{x} (9) = 3

Apply log rules

lo g_{3} (x) + \frac{2}{lo g _{3} ( x )} = 3

Rewrite the equation with

lo g_{3} (x) = u

u + \frac{2}{u} = 3

Solve

u + \frac{2}{u} = 3 : u = 2, u = 1

u = 2, u = 1

Substitute back

u = lo g_{3} (x),

solve for

x

Solve

lo g_{3} (x) = 2 : x = 9

Solve

lo g_{3} (x) = 1 : x = 3

x = 9, x = 3

Verify Solutions:

x = 9

True

, x = 3

True

The solutions are

x = 9, x = 3

lo g_{10} (2 x) = 3

ln (x + 2) = 0

ln (x + 2) = 1 + ln (x + 1)

3 lo g_{2} (x + 18) = 12

3 lo g_{10} (x) = lo g_{10} (8)

What is the answer to log_{3}(x)+log_{x}(9)=3 ?
The answer to log_{3}(x)+log_{x}(9)=3 is x=9,x=3
Solve for x: log_{3}(x)+log_{x}(9)=3
The solution is x=9,x=3