What is the answer to 4*5.2^x=3*0.75^x ?

The answer to 4*5.2^x=3*0.75^x is x=(ln(3)-2ln(2))/(ln(5.2)-ln(0.75))

Solve for x: 4*5.2^x=3*0.75^x

The solution is x=(ln(3)-2ln(2))/(ln(5.2)-ln(0.75))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 \cdot 5. 2^{x} = 3 \cdot 0.7 5^{x}

x = \frac{ln ( 3 ) - 2 ln ( 2 )}{ln ( 5.2 ) - ln ( 0.75 )}

Decimal Notation

x = - 0.14856 \dots

Solution steps

4 \cdot 5. 2^{x} = 3 \cdot 0.7 5^{x}

Apply exponent rules

ln (4) + x ln (5.2) = ln (3) + x ln (0.75)

Solve

ln (4) + x ln (5.2) = ln (3) + x ln (0.75) : x = \frac{ln ( 3 ) - 2 ln ( 2 )}{ln ( 5.2 ) - ln ( 0.75 )}

x = \frac{ln ( 3 ) - 2 ln ( 2 )}{ln ( 5.2 ) - ln ( 0.75 )}

2^{x + 2} = 3^{x - 1}

3^{2 x + 2} - 3^{x + 2} = 4

x, t = e^{x + 2}

1 0^{a} = 25.6

e^{x} = \frac{1}{3}

What is the answer to 4*5.2^x=3*0.75^x ?
The answer to 4*5.2^x=3*0.75^x is x=(ln(3)-2ln(2))/(ln(5.2)-ln(0.75))
Solve for x: 4*5.2^x=3*0.75^x
The solution is x=(ln(3)-2ln(2))/(ln(5.2)-ln(0.75))