What is the answer to ln(e)= 1/(log_{g)(8)} ?

The answer to ln(e)= 1/(log_{g)(8)} is g=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(e)= 1/(log_{g)(8)}

ln (e) = \frac{1}{lo g _{g} ( 8 )}

g = 8

Solution steps

ln (e) = \frac{1}{lo g _{g} ( 8 )}

Rewrite the equation with

lo g_{g} (8) = u

ln (e) = \frac{1}{u}

Solve

ln (e) = \frac{1}{u} : u = 1

u = 1

Substitute back

u = lo g_{g} (8),

solve for

g

Solve

lo g_{g} (8) = 1 : g = 8

g = 8

Verify Solutions:

g = 8

True

The solution is

g = 8

lo g_{10} (x) = \frac{3}{20}

x, 9 lo g_{10} (1 - 5 x) = 3

3 ln (x) - 7 = 6

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

4 lo g_{5} (3) = lo g_{5} (x)

What is the answer to ln(e)= 1/(log_{g)(8)} ?
The answer to ln(e)= 1/(log_{g)(8)} is g=8