What is the answer to 4log_{x}(3)-log_{3}(x^2)=7 ?

The answer to 4log_{x}(3)-log_{3}(x^2)=7 is x= 1/81 ,x=sqrt(3)

Solve for x: 4log_{x}(3)-log_{3}(x^2)=7

The solution is x= 1/81 ,x=sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 lo g_{x} (3) - lo g_{3} (x^{2}) = 7

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

Solution steps

4 lo g_{x} (3) - lo g_{3} (x^{2}) = 7

Apply log rules

\frac{4}{lo g _{3} ( x )} - 2 lo g_{3} (x) = 7

Rewrite the equation with

lo g_{3} (x) = u

\frac{4}{u} - 2 u = 7

Solve

\frac{4}{u} - 2 u = 7 : u = - 4, u = \frac{1}{2}

u = - 4, u = \frac{1}{2}

Substitute back

u = lo g_{3} (x),

solve for

x

Solve

lo g_{3} (x) = - 4 : x = \frac{1}{81}

Solve

lo g_{3} (x) = \frac{1}{2} : x = 3

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

Verify Solutions:

x = \frac{1}{81}

True

, x = 3

True

The solutions are

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

u, ln (u) = x + c

1.01885 = 0.6446 ln (x) - 0.5557

lo g_{5} (m) + lo g_{5} (m + 20) = 3

lo g_{2} (3 x - 1) = lo g_{2} (x - 5) + 2

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

What is the answer to 4log_{x}(3)-log_{3}(x^2)=7 ?
The answer to 4log_{x}(3)-log_{3}(x^2)=7 is x= 1/81 ,x=sqrt(3)
Solve for x: 4log_{x}(3)-log_{3}(x^2)=7
The solution is x= 1/81 ,x=sqrt(3)