What is the answer to 5*6^{-4x+3}-3=11 ?

The answer to 5*6^{-4x+3}-3=11 is x=(ln(540/7))/(4ln(6))

Solve for x: 5*6^{-4x+3}-3=11

The solution is x=(ln(540/7))/(4ln(6))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 \cdot 6^{- 4 x + 3} - 3 = 11

x = \frac{ln ( \frac{540}{7} )}{4 ln ( 6 )}

Decimal Notation

x = 0.60633 \dots

Solution steps

5 \cdot 6^{- 4 x + 3} - 3 = 11

Move

3

to the right side

5 \cdot 6^{- 4 x + 3} = 14

Divide both sides by

5

6^{- 4 x + 3} = \frac{14}{5}

Apply exponent rules

(- 4 x + 3) ln (6) = ln (\frac{14}{5})

Solve

(- 4 x + 3) ln (6) = ln (\frac{14}{5}) : x = \frac{ln ( \frac{540}{7} )}{4 ln ( 6 )}

x = \frac{ln ( \frac{540}{7} )}{4 ln ( 6 )}

2^{x + 4} \cdot \frac{1}{8 ^{x}} = 1

3^{2 x + 3} = 3^{(x^{2})}

e^{2 x} = 42

0. 5^{x} = 1.5

16 = 6 4^{k}

What is the answer to 5*6^{-4x+3}-3=11 ?
The answer to 5*6^{-4x+3}-3=11 is x=(ln(540/7))/(4ln(6))
Solve for x: 5*6^{-4x+3}-3=11
The solution is x=(ln(540/7))/(4ln(6))