What is 2log_{10}(x)+5log_{10}(x+3) ?

The solution to 2log_{10}(x)+5log_{10}(x+3) is log_{10}(x^2(x+3)^5)

Popular >

simplify 2log_{10}(x)+5log_{10}(x+3)

simplify

2 lo g_{10} (x) + 5 lo g_{10} (x + 3)

lo g_{10} (x^{2} (x + 3)^{5})

Solution steps

2 lo g_{10} (x) + 5 lo g_{10} (x + 3)

Apply log rule:

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

2 lo g_{10} (x) = lo g_{10} (x^{2})

= lo g_{10} (x^{2}) + 5 lo g_{10} (x + 3)

Apply log rule:

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

5 lo g_{10} (x + 3) = lo g_{10} ((x + 3)^{5})

= lo g_{10} (x^{2}) + lo g_{10} ((x + 3)^{5})

Apply log rule:

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

lo g_{10} (x^{2}) + lo g_{10} ((x + 3)^{5}) = lo g_{10} (x^{2} (x + 3)^{5})

= lo g_{10} (x^{2} (x + 3)^{5})

lo g_{6} (x) - lo g_{6} (x^{9})

ln (1.0 5^{t}) e + ln (1.0 2^{t})

1 - lo g_{4} (m - 1) + lo g_{4} (m + 1)

c lo g_{a} (x) + 2 lo g_{a} (y) - 4 lo g_{a} (x)

lo g_{10} (5 \frac{6}{x ^{7}})

What is 2log_{10}(x)+5log_{10}(x+3) ?
The solution to 2log_{10}(x)+5log_{10}(x+3) is log_{10}(x^2(x+3)^5)