What is 4log_{10}(7)+4log_{10}(x) ?

The solution to 4log_{10}(7)+4log_{10}(x) is log_{10}(2401x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4log_{10}(7)+4log_{10}(x)

simplify

4 lo g_{10} (7) + 4 lo g_{10} (x)

lo g_{10} (2401 x^{4})

Solution steps

4 lo g_{10} (7) + 4 lo g_{10} (x)

4 lo g_{10} (7) = lo g_{10} (7^{4})

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (7^{4}) + lo g_{10} (x^{4})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (7^{4}) + lo g_{10} (x^{4}) = lo g_{10} (7^{4} x^{4})

= lo g_{10} (7^{4} x^{4})

Simplify

7^{4} x^{4} : 2401 x^{4}

= lo g_{10} (2401 x^{4})

ln (\frac{10}{2})

ln (\frac{s + 1}{s - 1})

ln (\frac{0.05}{0.02})

lo g_{b} (z^{4} x)

lo g_{3} (5) - lo g_{3} (0.6)

What is 4log_{10}(7)+4log_{10}(x) ?
The solution to 4log_{10}(7)+4log_{10}(x) is log_{10}(2401x^4)