What is the answer to 4*10^{2x}=9 ?

The answer to 4*10^{2x}=9 is x=(ln(9/4))/(2ln(10))

Solve for x: 4*10^{2x}=9

The solution is x=(ln(9/4))/(2ln(10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 \cdot 1 0^{2 x} = 9

x = \frac{ln ( \frac{9}{4} )}{2 ln ( 10 )}

Decimal

x = 0.17609 \dots

Solution steps

4 \cdot 1 0^{2 x} = 9

Divide both sides by

4

1 0^{2 x} = \frac{9}{4}

Apply exponent rules

2 x ln (10) = ln (\frac{9}{4})

Solve

2 x ln (10) = ln (\frac{9}{4}) : x = \frac{ln ( \frac{9}{4} )}{2 ln ( 10 )}

x = \frac{ln ( \frac{9}{4} )}{2 ln ( 10 )}

e^{2 x} - 5 e^{x} = 0

9^{x} = \frac{1}{243}

3^{- 2 x} = \frac{1}{27}

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

2^{x} \times 3^{x} = 36

What is the answer to 4*10^{2x}=9 ?
The answer to 4*10^{2x}=9 is x=(ln(9/4))/(2ln(10))
Solve for x: 4*10^{2x}=9
The solution is x=(ln(9/4))/(2ln(10))