What is the answer to 5(2^{3-x})-13=100 ?

The answer to 5(2^{3-x})-13=100 is x=-(ln(113/5)-3ln(2))/(ln(2))

Solve for x: 5(2^{3-x})-13=100

The solution is x=-(ln(113/5)-3ln(2))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 (2^{3 - x}) - 13 = 100

x = - \frac{ln ( \frac{113}{5} ) - 3 ln ( 2 )}{ln ( 2 )}

Decimal Notation

x = - 1.49825 \dots

Solution steps

5 (2^{3 - x}) - 13 = 100

Move

13

to the right side

5 \cdot 2^{3 - x} = 113

Divide both sides by

5

2^{3 - x} = \frac{113}{5}

Apply exponent rules

(3 - x) ln (2) = ln (\frac{113}{5})

Solve

(3 - x) ln (2) = ln (\frac{113}{5}) : x = - \frac{ln ( \frac{113}{5} ) - 3 ln ( 2 )}{ln ( 2 )}

x = - \frac{ln ( \frac{113}{5} ) - 3 ln ( 2 )}{ln ( 2 )}

5^{x} - 7 \cdot 5^{x - 2} = 90

5^{2 x} = 2 5^{3 x + 2}

7^{x} = 64

\frac{e ^{y} - 1}{2 - 3 e ^{y}} = \frac{2}{7}

4^{x + 1} = 25 6^{1}

What is the answer to 5(2^{3-x})-13=100 ?
The answer to 5(2^{3-x})-13=100 is x=-(ln(113/5)-3ln(2))/(ln(2))
Solve for x: 5(2^{3-x})-13=100
The solution is x=-(ln(113/5)-3ln(2))/(ln(2))