What is the answer to 15.7(0.98)^x=11(0.99)^x ?

The answer to 15.7(0.98)^x=11(0.99)^x is x=(ln(15.7)-ln(11))/(ln(0.99)-ln(0.98))

Solve for x: 15.7(0.98)^x=11(0.99)^x

The solution is x=(ln(15.7)-ln(11))/(ln(0.99)-ln(0.98))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15.7 (0.98)^{x} = 11 (0.99)^{x}

x = \frac{ln ( 15.7 ) - ln ( 11 )}{ln ( 0.99 ) - ln ( 0.98 )}

Solution steps

15.7 (0.98)^{x} = 11 (0.99)^{x}

Apply exponent rules

ln (15.7) + x ln (0.98) = ln (11) + x ln (0.99)

Solve

ln (15.7) + x ln (0.98) = ln (11) + x ln (0.99) : x = \frac{ln ( 15.7 ) - ln ( 11 )}{ln ( 0.99 ) - ln ( 0.98 )}

x = \frac{ln ( 15.7 ) - ln ( 11 )}{ln ( 0.99 ) - ln ( 0.98 )}

4^{x} (5^{2} x) = 10

40000 = 5400 \cdot 1.03 5^{x}

e^{9 x} = 4

2^{3 x} - 2^{7 x - 2} = 0

- 5 \cdot 7^{- 3 x - 6} - 8 = - 9

What is the answer to 15.7(0.98)^x=11(0.99)^x ?
The answer to 15.7(0.98)^x=11(0.99)^x is x=(ln(15.7)-ln(11))/(ln(0.99)-ln(0.98))
Solve for x: 15.7(0.98)^x=11(0.99)^x
The solution is x=(ln(15.7)-ln(11))/(ln(0.99)-ln(0.98))