What is log_{10}(a)+6log_{10}(r) ?

The solution to log_{10}(a)+6log_{10}(r) is log_{10}(ar^6)

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simplify log_{10}(a)+6log_{10}(r)

simplify

lo g_{10} (a) + 6 lo g_{10} (r)

lo g_{10} (a r^{6})

Solution steps

lo g_{10} (a) + 6 lo g_{10} (r)

Apply log rule:

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

6 lo g_{10} (r) = lo g_{10} (r^{6})

= lo g_{10} (a) + lo g_{10} (r^{6})

Apply log rule:

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

lo g_{10} (a) + lo g_{10} (r^{6}) = lo g_{10} (a r^{6})

= lo g_{10} (a r^{6})

ln (\frac{s - 2}{s + 2})

lo g_{10} (a) + 6 lo g_{10} (b)

ln (x^{7} 7 - x)

lo g_{3} (9 x^{4}) - lo g_{3} ((3 x)^{2})

lo g_{10} (2) + lo g_{10} (4) - lo g_{10} (7)

What is log_{10}(a)+6log_{10}(r) ?
The solution to log_{10}(a)+6log_{10}(r) is log_{10}(ar^6)