What is log_{10}(10(10x^{100})/(10)) ?

The solution to log_{10}(10(10x^{100})/(10)) is 1+100log_{10}(x)

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simplify log_{10}(10(10x^{100})/(10))

simplify

lo g_{10} (10 \frac{10 x ^{100}}{10})

1 + 100 lo g_{10} (x)

Solution steps

lo g_{10} (10 \cdot \frac{10 x ^{100}}{10})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (10 \cdot \frac{10 x ^{100}}{10}) = lo g_{10} (10) + lo g_{10} (\frac{10 x ^{100}}{10})

= lo g_{10} (10) + lo g_{10} (\frac{10 x ^{100}}{10})

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= 1 + lo g_{10} (\frac{10 x ^{100}}{10})

Simplify

lo g_{10} (\frac{10 x ^{100}}{10}) : 100 lo g_{10} (x)

= 1 + 100 lo g_{10} (x)

lo g_{a} (x^{3} y^{2})

\frac{ln ( 3 ) - ln ( 7 )}{2 ln ( 7 )}

\frac{( lo g _{3} ( 106 ) - lo g _{3} ( 5 ) )}{lo g _{3} ( 8 )}

ln (a) + ln (b) + ln (c)

lo g_{3} (4) + lo g_{3} (x) - lo g_{3} (5)

What is log_{10}(10(10x^{100})/(10)) ?
The solution to log_{10}(10(10x^{100})/(10)) is 1+100log_{10}(x)