What is the answer to log_{4}(x)=log_{x}(4) ?

The answer to log_{4}(x)=log_{x}(4) is x=4,x= 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{4}(x)=log_{x}(4)

lo g_{4} (x) = lo g_{x} (4)

x = 4, x = \frac{1}{4}

Decimal Notation

x = 4, x = 0.25

Solution steps

lo g_{4} (x) = lo g_{x} (4)

Apply log rules

lo g_{4} (x) = \frac{1}{lo g _{4} ( x )}

Rewrite the equation with

lo g_{4} (x) = u

u = \frac{1}{u}

Solve

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

u = 1, u = - 1

Substitute back

u = lo g_{4} (x),

solve for

x

Solve

lo g_{4} (x) = 1 : x = 4

Solve

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

x = 4, x = \frac{1}{4}

Verify Solutions:

x = 4

True

, x = \frac{1}{4}

True

The solutions are

x = 4, x = \frac{1}{4}

ln (x) + ln (3) = 0

ln (x) = ln (x + 8) - ln (2)

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

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

lo g_{10} (x) = 1.62

What is the answer to log_{4}(x)=log_{x}(4) ?
The answer to log_{4}(x)=log_{x}(4) is x=4,x= 1/4
Solve for x: log_{4}(x)=log_{x}(4)
The solution is x=4,x= 1/4