What is the answer to 4(1+10^{5x})=9 ?

The answer to 4(1+10^{5x})=9 is x=(ln(5/4))/(5ln(10))

Solve for x: 4(1+10^{5x})=9

The solution is x=(ln(5/4))/(5ln(10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 (1 + 1 0^{5 x}) = 9

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 10 )}

Decimal Notation

x = 0.01938 \dots

Solution steps

4 (1 + 1 0^{5 x}) = 9

Divide both sides by

4

1 + 1 0^{5 x} = \frac{9}{4}

Move

1

to the right side

1 0^{5 x} = \frac{5}{4}

Apply exponent rules

5 x ln (10) = ln (\frac{5}{4})

Solve

5 x ln (10) = ln (\frac{5}{4}) : x = \frac{ln ( \frac{5}{4} )}{5 ln ( 10 )}

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 10 )}

e^{- x} = 1

3^{2 x - 2} + 3^{x - 1} = 12

1 0^{x} = 1000

3^{x} \cdot 4^{2 x + 1} = 6^{x + 2}

3^{2 x - 1} - 8 \cdot 3^{x - 1} = 3

What is the answer to 4(1+10^{5x})=9 ?
The answer to 4(1+10^{5x})=9 is x=(ln(5/4))/(5ln(10))
Solve for x: 4(1+10^{5x})=9
The solution is x=(ln(5/4))/(5ln(10))