What is the answer to 2log_{2}(x)-3log_{x}(2)+5=0 ?

The answer to 2log_{2}(x)-3log_{x}(2)+5=0 is x=sqrt(2),x= 1/8

Solve for x: 2log_{2}(x)-3log_{x}(2)+5=0

The solution is x=sqrt(2),x= 1/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 lo g_{2} (x) - 3 lo g_{x} (2) + 5 = 0

x = 2, x = \frac{1}{8}

Solution steps

2 lo g_{2} (x) - 3 lo g_{x} (2) + 5 = 0

Apply log rules

2 lo g_{2} (x) - \frac{3}{lo g _{2} ( x )} + 5 = 0

Rewrite the equation with

lo g_{2} (x) = u

2 u - \frac{3}{u} + 5 = 0

Solve

2 u - \frac{3}{u} + 5 = 0 : u = \frac{1}{2}, u = - 3

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

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

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

Solve

lo g_{2} (x) = - 3 : x = \frac{1}{8}

x = 2, x = \frac{1}{8}

Verify Solutions:

x = 2

True

, x = \frac{1}{8}

True

The solutions are

x = 2, x = \frac{1}{8}

e^{2 l n (x)} = x^{2}

5 = lo g_{10} (2 x) - lo g_{10} (x + 1)

0.2 = - lo g_{10} (x)

lo g_{2} (11 - x) = lo g_{2} (x + 1) + 3

lo g_{a} (N) = ln (x)

What is the answer to 2log_{2}(x)-3log_{x}(2)+5=0 ?
The answer to 2log_{2}(x)-3log_{x}(2)+5=0 is x=sqrt(2),x= 1/8
Solve for x: 2log_{2}(x)-3log_{x}(2)+5=0
The solution is x=sqrt(2),x= 1/8