What is the answer to 4^{5-2x}-7^{8+3x}=0 ?

The answer to 4^{5-2x}-7^{8+3x}=0 is x=-(8ln(7)-10ln(2))/(ln(5488))

Solve for x: 4^{5-2x}-7^{8+3x}=0

The solution is x=-(8ln(7)-10ln(2))/(ln(5488))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4^{5 - 2 x} - 7^{8 + 3 x} = 0

x = - \frac{8 ln ( 7 ) - 10 ln ( 2 )}{ln ( 5488 )}

Decimal Notation

x = - 1.00296 \dots

Solution steps

4^{5 - 2 x} - 7^{8 + 3 x} = 0

Add

7^{8 + 3 x}

to both sides

4^{5 - 2 x} - 7^{8 + 3 x} + 7^{8 + 3 x} = 0 + 7^{8 + 3 x}

Simplify

4^{5 - 2 x} = 7^{8 + 3 x}

Apply exponent rules

(5 - 2 x) ln (4) = (8 + 3 x) ln (7)

Solve

(5 - 2 x) ln (4) = (8 + 3 x) ln (7) : x = - \frac{8 ln ( 7 ) - 10 ln ( 2 )}{ln ( 5488 )}

x = - \frac{8 ln ( 7 ) - 10 ln ( 2 )}{ln ( 5488 )}

2 x + e^{- x} = 0

2^{2 x} = 2

2^{2 x} = 3

2^{x^{2} + x} = 4

6^{x - 2} = \frac{1}{4}

What is the answer to 4^{5-2x}-7^{8+3x}=0 ?
The answer to 4^{5-2x}-7^{8+3x}=0 is x=-(8ln(7)-10ln(2))/(ln(5488))
Solve for x: 4^{5-2x}-7^{8+3x}=0
The solution is x=-(8ln(7)-10ln(2))/(ln(5488))