What is the answer to 10^{x+3}=6^{2x} ?

The answer to 10^{x+3}=6^{2x} is x=(3ln(10))/(ln(18/5))

Solve for x: 10^{x+3}=6^{2x}

The solution is x=(3ln(10))/(ln(18/5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1 0^{x + 3} = 6^{2 x}

x = \frac{3 ln ( 10 )}{ln ( \frac{18}{5} )}

Decimal Notation

x = 5.39274 \dots

Solution steps

1 0^{x + 3} = 6^{2 x}

Apply exponent rules

(x + 3) ln (10) = 2 x ln (6)

Solve

(x + 3) ln (10) = 2 x ln (6) : x = \frac{3 ln ( 10 )}{ln ( \frac{18}{5} )}

x = \frac{3 ln ( 10 )}{ln ( \frac{18}{5} )}

2^{5 x + 1} = 8^{2 x - 3}

9^{(x + 2)} = 2 7^{(x + 1)}

8^{3 x} = (\frac{1}{4})^{x + 1}

y, \frac{y}{e ^{x y}} = x

2^{5 x - 2} = 2^{x + 2}

What is the answer to 10^{x+3}=6^{2x} ?
The answer to 10^{x+3}=6^{2x} is x=(3ln(10))/(ln(18/5))
Solve for x: 10^{x+3}=6^{2x}
The solution is x=(3ln(10))/(ln(18/5))