What is the answer to 5^x-2=(623^3)/(5^2) ?

The answer to 5^x-2=(623^3)/(5^2) is x=(ln(241804417/25))/(ln(5))

Solve for x: 5^x-2=(623^3)/(5^2)

The solution is x=(ln(241804417/25))/(ln(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{x} - 2 = \frac{62 3 ^{3}}{5 ^{2}}

x = \frac{ln ( \frac{241804417}{25} )}{ln ( 5 )}

Decimal Notation

x = 9.99402 \dots

Solution steps

5^{x} - 2 = \frac{62 3 ^{3}}{5 ^{2}}

Apply exponent rules

x ln (5) = ln (\frac{241804367}{25} + 2)

Solve

x ln (5) = ln (\frac{241804367}{25} + 2) : x = \frac{ln ( \frac{241804417}{25} )}{ln ( 5 )}

x = \frac{ln ( \frac{241804417}{25} )}{ln ( 5 )}

x^{2 x} + 16 = 8 x^{x}

2^{x} = 2000

e^{8 y} = 2

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

81 \cdot 9^{- 2 x - 2} = 27

What is the answer to 5^x-2=(623^3)/(5^2) ?
The answer to 5^x-2=(623^3)/(5^2) is x=(ln(241804417/25))/(ln(5))
Solve for x: 5^x-2=(623^3)/(5^2)
The solution is x=(ln(241804417/25))/(ln(5))