What is 3log_{10}(x)+4log_{10}(x-1) ?

The solution to 3log_{10}(x)+4log_{10}(x-1) is log_{10}(x^3(x-1)^4)

Popular >

simplify 3log_{10}(x)+4log_{10}(x-1)

simplify

3 lo g_{10} (x) + 4 lo g_{10} (x - 1)

lo g_{10} (x^{3} (x - 1)^{4})

Solution steps

3 lo g_{10} (x) + 4 lo g_{10} (x - 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (x) = lo g_{10} (x^{3})

= lo g_{10} (x^{3}) + 4 lo g_{10} (x - 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 lo g_{10} (x - 1) = lo g_{10} ((x - 1)^{4})

= lo g_{10} (x^{3}) + lo g_{10} ((x - 1)^{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (x^{3}) + lo g_{10} ((x - 1)^{4}) = lo g_{10} (x^{3} (x - 1)^{4})

= lo g_{10} (x^{3} (x - 1)^{4})

2 [ln (x) - ln (x + 1) + ln (x - 1)]

\frac{1}{3} ln (y - 1) - \frac{1}{3} ln (y + 2)

ln (\frac{0.8}{0. 8 ^{2}})

ln ∣ x + 4 ∣ - ln ∣ x + 2 ∣

lo g_{1.8} (\frac{6.69}{3.12}) + 53.29 - 54.01

What is 3log_{10}(x)+4log_{10}(x-1) ?
The solution to 3log_{10}(x)+4log_{10}(x-1) is log_{10}(x^3(x-1)^4)