What is the answer to 2^{5x}=3^x(5^{x+3}) ?

The answer to 2^{5x}=3^x(5^{x+3}) is x=(3ln(5))/(5ln(2)-ln(15))

Solve for x: 2^{5x}=3^x(5^{x+3})

The solution is x=(3ln(5))/(5ln(2)-ln(15))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{5 x} = 3^{x} (5^{x + 3})

x = \frac{3 ln ( 5 )}{5 ln ( 2 ) - ln ( 15 )}

Decimal Notation

x = 6.37244 \dots

Solution steps

2^{5 x} = 3^{x} (5^{x + 3})

Apply exponent rules

5 x ln (2) = x ln (15) + ln (5^{3})

Solve

5 x ln (2) = x ln (15) + ln (5^{3}) : x = \frac{3 ln ( 5 )}{5 ln ( 2 ) - ln ( 15 )}

x = \frac{3 ln ( 5 )}{5 ln ( 2 ) - ln ( 15 )}

1000 = 100 e^{0.06 t}

6^{3 x - 5} = 1

3 = x + 3 e^{- x}

7^{x} = 7^{3}

4^{7 x - 2} = 1 7^{x + 1}

What is the answer to 2^{5x}=3^x(5^{x+3}) ?
The answer to 2^{5x}=3^x(5^{x+3}) is x=(3ln(5))/(5ln(2)-ln(15))
Solve for x: 2^{5x}=3^x(5^{x+3})
The solution is x=(3ln(5))/(5ln(2)-ln(15))