What is log_{10}(5x)+log_{7}(x) ?

The solution to log_{10}(5x)+log_{7}(x) is log_{10}(5)+log_{10}(x)+log_{7}(x)

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simplify log_{10}(5x)+log_{7}(x)

simplify

lo g_{10} (5 x) + lo g_{7} (x)

lo g_{10} (5) + lo g_{10} (x) + lo g_{7} (x)

Solution steps

lo g_{10} (5 x) + lo g_{7} (x)

Apply log rule:

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

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

= lo g_{10} (5) + lo g_{10} (x) + lo g_{7} (x)

3 ln (\frac{10 + 104}{2})

\frac{1}{6} ln (d) - 6 ln (f)

4.76 + lo g_{10} (\frac{0.022}{0.1})

ln (x + 1) + ln (x)

ln (\frac{0.01}{100})

What is log_{10}(5x)+log_{7}(x) ?
The solution to log_{10}(5x)+log_{7}(x) is log_{10}(5)+log_{10}(x)+log_{7}(x)