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Popular >

simplify ln(x^7)-ln(x)

Solution

simplify

ln (x^{7}) - ln (x)

Solution

ln (x^{6})

Solution steps

ln (x^{7}) - ln (x)

Apply log rule:

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

ln (x^{7}) - ln (x) = ln (\frac{x ^{7}}{x})

= ln (\frac{x ^{7}}{x})

Cancel the common factor:

x

= ln (x^{6})

Popular Examples

domain of f(z)=log_{10}((3z)/(10))domain

f (z) = lo g_{10} (\frac{3 z}{10})

expand log_{9}(x/(y^4z^2))expand

lo g_{9} (\frac{x}{y ^{4} z ^{2}})

simplify ln(11)+6ln(x)-7ln(y)simplify

ln (11) + 6 ln (x) - 7 ln (y)

simplify log_{6}((x^3y)/(2z^7))simplify

lo g_{6} (\frac{x ^{3} y}{2 z ^{7}})

simplify-0.4+(0.592)/2*log_{10}((0.2)/1)simplify

- 0.4 + \frac{0.592}{2} \cdot lo g_{10} (\frac{0.2}{1})

Frequently Asked Questions (FAQ)

What is ln(x^7)-ln(x) ?
The solution to ln(x^7)-ln(x) is ln(x^6)