What is the answer to 3log_{5}(x)-log_{x}(5)=2 ?

The answer to 3log_{5}(x)-log_{x}(5)=2 is x=5,x= 1/(\sqrt[3]{5)}

Solve for x: 3log_{5}(x)-log_{x}(5)=2

The solution is x=5,x= 1/(\sqrt[3]{5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Decimal Notation

x = 5, x = 0.58480 \dots

Solution steps

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

Apply log rules

3 lo g_{5} (x) - \frac{1}{lo g _{5} ( x )} = 2

Rewrite the equation with

lo g_{5} (x) = u

3 u - \frac{1}{u} = 2

Solve

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

u = 1, u = - \frac{1}{3}

Substitute back

u = lo g_{5} (x),

solve for

x

Solve

lo g_{5} (x) = 1 : x = 5

Solve

Verify Solutions:

x = 5

True

The solutions are

lo g_{2} (x - 1) = lo g_{2} (4 x - 7)

0.62 = ln (x)

lo g_{x} (8) = \frac{1}{2}

lo g_{x} (2) = 4

3 lo g_{3} (x) - lo g_{3} (7 x) = 1

What is the answer to 3log_{5}(x)-log_{x}(5)=2 ?
The answer to 3log_{5}(x)-log_{x}(5)=2 is x=5,x= 1/(\sqrt[3]{5)}
Solve for x: 3log_{5}(x)-log_{x}(5)=2
The solution is x=5,x= 1/(\sqrt[3]{5)}