What is the answer to (6/5)^n=16 ?

The answer to (6/5)^n=16 is n=(4ln(2))/(ln(6/5))

Solve for n: (6/5)^n=16

The solution is n=(4ln(2))/(ln(6/5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\frac{6}{5})^{n} = 16

n = \frac{4 ln ( 2 )}{ln ( \frac{6}{5} )}

Decimal Notation

n = 15.20713 \dots

Solution steps

(\frac{6}{5})^{n} = 16

Apply exponent rules

n ln (\frac{6}{5}) = ln (16)

Solve

n ln (\frac{6}{5}) = ln (16) : n = \frac{4 ln ( 2 )}{ln ( \frac{6}{5} )}

n = \frac{4 ln ( 2 )}{ln ( \frac{6}{5} )}

4^{2 x - 3} = 1

z, e^{2 x + 2 y + z} = c

8^{x - 2} = 1 6^{5 x + 4}

x = 2^{\frac{x}{8}}

0.8 = - e^{\frac{- 2 t - ( - 2 )}{7}} + 1

What is the answer to (6/5)^n=16 ?
The answer to (6/5)^n=16 is n=(4ln(2))/(ln(6/5))
Solve for n: (6/5)^n=16
The solution is n=(4ln(2))/(ln(6/5))