What is the answer to log_{5}(x)(log_{5}(x)-3)=10 ?

The answer to log_{5}(x)(log_{5}(x)-3)=10 is x=3125,x= 1/25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{5}(x)(log_{5}(x)-3)=10

lo g_{5} (x) (lo g_{5} (x) - 3) = 10

x = 3125, x = \frac{1}{25}

Decimal Notation

x = 3125, x = 0.04

Solution steps

lo g_{5} (x) (lo g_{5} (x) - 3) = 10

Rewrite the equation with

lo g_{5} (x) = u

u (u - 3) = 10

Solve

u (u - 3) = 10 : u = 5, u = - 2

u = 5, u = - 2

Substitute back

u = lo g_{5} (x),

solve for

x

Solve

lo g_{5} (x) = 5 : x = 3125

Solve

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

x = 3125, x = \frac{1}{25}

Verify Solutions:

x = 3125

True

, x = \frac{1}{25}

True

The solutions are

x = 3125, x = \frac{1}{25}

lo g_{x} (16) = - 2

lo g_{4} (x - 3) = 1 - lo g_{4} (x)

lo g_{10} (7) + lo g_{10} (x - 4) = 1

lo g_{100} (x) = \frac{1}{2}

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

What is the answer to log_{5}(x)(log_{5}(x)-3)=10 ?
The answer to log_{5}(x)(log_{5}(x)-3)=10 is x=3125,x= 1/25
Solve for x: log_{5}(x)(log_{5}(x)-3)=10
The solution is x=3125,x= 1/25