What is the answer to 2(1+0.06)^x=5(1+0.008)^x ?

The answer to 2(1+0.06)^x=5(1+0.008)^x is x=(ln(5)-ln(2))/(ln(1.06)-ln(1.008))

Solve for x: 2(1+0.06)^x=5(1+0.008)^x

The solution is x=(ln(5)-ln(2))/(ln(1.06)-ln(1.008))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 (1 + 0.06)^{x} = 5 (1 + 0.008)^{x}

x = \frac{ln ( 5 ) - ln ( 2 )}{ln ( 1.06 ) - ln ( 1.008 )}

Decimal Notation

x = 18.21624 \dots

Solution steps

2 (1 + 0.06)^{x} = 5 (1 + 0.008)^{x}

Apply exponent rules

ln (2) + x ln (1 + 0.06) = ln (5) + x ln (1 + 0.008)

Solve

ln (2) + x ln (1 + 0.06) = ln (5) + x ln (1 + 0.008) : x = \frac{ln ( 5 ) - ln ( 2 )}{ln ( 1.06 ) - ln ( 1.008 )}

x = \frac{ln ( 5 ) - ln ( 2 )}{ln ( 1.06 ) - ln ( 1.008 )}

2^{(x - 5)} = 3

t, e^{- Y t} = x

x, 13 e^{5 x} = 13

30 = 20 + 50 \cdot 1 0^{- 0.04 m}

1.5 5^{x} = 9.4

What is the answer to 2(1+0.06)^x=5(1+0.008)^x ?
The answer to 2(1+0.06)^x=5(1+0.008)^x is x=(ln(5)-ln(2))/(ln(1.06)-ln(1.008))
Solve for x: 2(1+0.06)^x=5(1+0.008)^x
The solution is x=(ln(5)-ln(2))/(ln(1.06)-ln(1.008))