What is ln(((3.14x^{3.124}))/(0.32)) ?

The solution to ln(((3.14x^{3.124}))/(0.32)) is ln(3.14)+3.124ln(x)-ln(0.32)

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simplify ln(((3.14x^{3.124}))/(0.32))

simplify

ln (\frac{( 3.14 x ^{3.124} )}{0.32})

ln (3.14) + 3.124 ln (x) - ln (0.32)

Solution steps

ln (\frac{( 3.14 x ^{3.124} )}{0.32})

Apply log rule:

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

ln (\frac{( 3.14 x ^{3.124} )}{0.32}) = ln ((3.14 x^{3.124})) - ln (0.32)

= ln (3.14 x^{3.124}) - ln (0.32)

Apply log rule:

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

ln (3.14 x^{3.124}) = ln (3.14) + ln (x^{3.124})

= ln (3.14) + ln (x^{3.124}) - ln (0.32)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{3.124}) = 3.124 ln (x)

= ln (3.14) + 3.124 ln (x) - ln (0.32)

4 lo g_{8} (a) + lo g_{8} (77)

- lo g_{10} (1.94 \cdot 1 0^{- 7})

\frac{1}{4} ln (\frac{y}{x} - 1) - \frac{5}{4} ln (\frac{y}{x} + 3) - ln (x)

lo g_{10} (\frac{3}{x ^{2} - y ^{2}})

ln (\frac{x y ^{2}}{e ^{3} z ^{4}})

What is ln(((3.14x^{3.124}))/(0.32)) ?
The solution to ln(((3.14x^{3.124}))/(0.32)) is ln(3.14)+3.124ln(x)-ln(0.32)