What is the answer to 38.5^x=6.5^{x-2} ?

The answer to 38.5^x=6.5^{x-2} is x=-(2ln(6.5))/(ln(38.5)-ln(6.5))

Solve for x: 38.5^x=6.5^{x-2}

The solution is x=-(2ln(6.5))/(ln(38.5)-ln(6.5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

38. 5^{x} = 6. 5^{x - 2}

x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

Decimal Notation

x = - 2.10450 \dots

Solution steps

38. 5^{x} = 6. 5^{x - 2}

Apply exponent rules

x ln (38.5) = (x - 2) ln (6.5)

Solve

x ln (38.5) = (x - 2) ln (6.5) : x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

e^{x} = 9.9

17 e^{x} = 1

2^{x} - 3 \cdot 2^{x} + 2 = 0

(x^{2} - 3) e^{x} = 0

5 e^{x} = 61

What is the answer to 38.5^x=6.5^{x-2} ?
The answer to 38.5^x=6.5^{x-2} is x=-(2ln(6.5))/(ln(38.5)-ln(6.5))
Solve for x: 38.5^x=6.5^{x-2}
The solution is x=-(2ln(6.5))/(ln(38.5)-ln(6.5))