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Popular >

simplify 8ln(x)-4ln(5)

Solution

simplify

8 ln (x) - 4 ln (5)

Solution

ln (\frac{x ^{8}}{625})

Solution steps

8 ln (x) - 4 ln (5)

Apply log rule:

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

8 ln (x) = ln (x^{8})

= ln (x^{8}) - 4 ln (5)

Apply log rule:

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

4 ln (5) = ln (5^{4})

= ln (x^{8}) - ln (5^{4})

Apply log rule:

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

ln (x^{8}) - ln (5^{4}) = ln (\frac{x ^{8}}{5 ^{4}})

= ln (\frac{x ^{8}}{5 ^{4}})

5^{4} = 625

= ln (\frac{x ^{8}}{625})

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Frequently Asked Questions (FAQ)

What is 8ln(x)-4ln(5) ?
The solution to 8ln(x)-4ln(5) is ln((x^8)/(625))