What is the answer to 5(10^{2x}-2)=15 ?

The answer to 5(10^{2x}-2)=15 is x=(ln(5))/(2ln(10))

Solve for x: 5(10^{2x}-2)=15

The solution is x=(ln(5))/(2ln(10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 (1 0^{2 x} - 2) = 15

x = \frac{ln ( 5 )}{2 ln ( 10 )}

Decimal Notation

x = 0.34948 \dots

Solution steps

5 (1 0^{2 x} - 2) = 15

Divide both sides by

5

1 0^{2 x} - 2 = 3

Move

2

to the right side

1 0^{2 x} = 5

Apply exponent rules

2 x ln (10) = ln (5)

Solve

2 x ln (10) = ln (5) : x = \frac{ln ( 5 )}{2 ln ( 10 )}

x = \frac{ln ( 5 )}{2 ln ( 10 )}

5^{n + 10} = 25

e^{- 9 x} = 0

3^{2 + x} = 172

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

3^{- 5} \cdot 3^{3} = 3^{k}

What is the answer to 5(10^{2x}-2)=15 ?
The answer to 5(10^{2x}-2)=15 is x=(ln(5))/(2ln(10))
Solve for x: 5(10^{2x}-2)=15
The solution is x=(ln(5))/(2ln(10))