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Popular >

simplify 3ln(x)+5ln(z)

Solution

simplify

3 ln (x) + 5 ln (z)

Solution

ln (x^{3} z^{5})

Solution steps

3 ln (x) + 5 ln (z)

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (x^{3}) + 5 ln (z)

Apply log rule:

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

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

= ln (x^{3}) + ln (z^{5})

Apply log rule:

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

ln (x^{3}) + ln (z^{5}) = ln (x^{3} z^{5})

= ln (x^{3} z^{5})

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Frequently Asked Questions (FAQ)

What is 3ln(x)+5ln(z) ?
The solution to 3ln(x)+5ln(z) is ln(x^3z^5)