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

The solution to log_{10}(x)7-log_{10}(5) is log_{10}((x^7)/5)

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

simplify

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

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

Solution steps

lo g_{10} (x) \cdot 7 - lo g_{10} (5)

Apply log rule:

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

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

= lo g_{10} (x^{7}) - lo g_{10} (5)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

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

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.2}{0.01})

\frac{1}{2} (0.375983) + \frac{1}{4} (ln (1.25) + ln (1.75))

ln (\frac{547.85}{273.85}) \cdot 8

ln (27500) - ln (22617)

ln (\frac{1}{120})

What is log_{10}(x)7-log_{10}(5) ?
The solution to log_{10}(x)7-log_{10}(5) is log_{10}((x^7)/5)