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

The answer to log_{x}(5)+log_{5}(x)=2 is x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(5)+log_{5}(x)=2

lo g_{x} (5) + lo g_{5} (x) = 2

x = 5

Solution steps

lo g_{x} (5) + lo g_{5} (x) = 2

Apply log rules

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

Rewrite the equation with

lo g_{5} (x) = u

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

Solve

\frac{1}{u} + u = 2 : u = 1

u = 1

Substitute back

u = lo g_{5} (x),

solve for

x

Solve

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

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

55000 = 5000 ln (0.3 t + 0.5) + 38000

ln (y) = 0.83

lo g_{4} (x - 2) - lo g_{4} (x - 5) = 2

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

5 lo g_{10} (x) = 3 lo g_{x} (+ 6)

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