What is the answer to ln(2/5)=ln(0.9^t) ?

The answer to ln(2/5)=ln(0.9^t) is t=(ln(2/5))/(ln(0.9))

Solve for t: ln(2/5)=ln(0.9^t)

The solution is t=(ln(2/5))/(ln(0.9))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln (\frac{2}{5}) = ln (0. 9^{t})

t = \frac{ln ( \frac{2}{5} )}{ln ( 0.9 )}

Decimal Notation

t = 8.69671 \dots

Solution steps

ln (\frac{2}{5}) = ln (0. 9^{t})

Rewrite the equation with

0. 9^{t} = u

ln (\frac{2}{5}) = ln (u)

Solve

ln (\frac{2}{5}) = ln (u) : u = \frac{2}{5}

u = \frac{2}{5}

Substitute back

u = 0. 9^{t},

solve for

t

Solve

0. 9^{t} = \frac{2}{5} : t = \frac{ln ( \frac{2}{5} )}{ln ( 0.9 )}

t = \frac{ln ( \frac{2}{5} )}{ln ( 0.9 )}

9^{x + 1} = 1

9^{x + 1} = 2

8^{3 p + 4} 8^{- 4 p - 2} = 2^{p - 1}

200000 = 100000 (1 + 0.0425)^{t}

1 0^{- x} - 6 = 51

What is the answer to ln(2/5)=ln(0.9^t) ?
The answer to ln(2/5)=ln(0.9^t) is t=(ln(2/5))/(ln(0.9))
Solve for t: ln(2/5)=ln(0.9^t)
The solution is t=(ln(2/5))/(ln(0.9))