What is the answer to 3-2log_{25}(x)=2log_{x}(5) ?

The answer to 3-2log_{25}(x)=2log_{x}(5) is x=5,x=25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3-2log_{25}(x)=2log_{x}(5)

3 - 2 lo g_{25} (x) = 2 lo g_{x} (5)

x = 5, x = 25

Solution steps

3 - 2 lo g_{25} (x) = 2 lo g_{x} (5)

Apply log rules

3 - 2 lo g_{25} (x) = \frac{1}{lo g _{25} ( x )}

Rewrite the equation with

lo g_{25} (x) = u

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

Solve

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

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

Substitute back

u = lo g_{25} (x),

solve for

x

Solve

lo g_{25} (x) = \frac{1}{2} : x = 5

Solve

lo g_{25} (x) = 1 : x = 25

x = 5, x = 25

Verify Solutions:

x = 5

True

, x = 25

True

The solutions are

x = 5, x = 25

x, ln (3 x - 10) = 2

0.54 = lo g_{10} (x)

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

lo g_{2} (- 6 x - 1) = - 3

0.66 = lo g_{10} (x)

What is the answer to 3-2log_{25}(x)=2log_{x}(5) ?
The answer to 3-2log_{25}(x)=2log_{x}(5) is x=5,x=25
Solve for x: 3-2log_{25}(x)=2log_{x}(5)
The solution is x=5,x=25