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Popular >

simplify 2+3ln(t)-4ln(x)

Solution

simplify

2 + 3 ln (t) - 4 ln (x)

Solution

2 + ln (\frac{t ^{3}}{x ^{4}})

Solution steps

2 + 3 ln (t) - 4 ln (x)

Apply log rule:

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

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

= 2 + ln (t^{3}) - 4 ln (x)

Apply log rule:

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

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

= 2 + ln (t^{3}) - ln (x^{4})

Apply log rule:

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

ln (t^{3}) - ln (x^{4}) = ln (\frac{t ^{3}}{x ^{4}})

= 2 + ln (\frac{t ^{3}}{x ^{4}})

Popular Examples

simplify-log_{10}(4.18*10^{-3})simplify

- lo g_{10} (4.18 \cdot 1 0^{- 3})

simplify ln(1/2)+ln(sqrt(3))simplify

ln (\frac{1}{2}) + ln (3)

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ln (b x)

simplify 2log_{10}(x)+6log_{10}(x+4)simplify

2 lo g_{10} (x) + 6 lo g_{10} (x + 4)

Frequently Asked Questions (FAQ)

What is 2+3ln(t)-4ln(x) ?
The solution to 2+3ln(t)-4ln(x) is 2+ln((t^3)/(x^4))