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Popular >

simplify ln(7x)-ln(1)

Solution

simplify

ln (7 x) - ln (1)

Solution

ln (x) + ln (7)

Solution steps

ln (7 x) - ln (1)

Apply log rule:

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

ln (7 x) = ln (7) + ln (x)

= ln (7) + ln (x) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (7) + ln (x) - 0

ln (7) + ln (x) - 0 = ln (7) + ln (x)

= ln (x) + ln (7)

Popular Examples

simplify-log_{10}(7.21*10^{-6})simplify

- lo g_{10} (7.21 \cdot 1 0^{- 6})

simplify-1/2 ln(x+1)+2ln(x+2)-3/2 ln(x+3)simplify

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

simplify ln(1.21*10^3)simplify

ln (1.21 \cdot 1 0^{3})

simplify-log_{10}(1.8x10^{-3})simplify

- lo g_{10} (1.8 x 1 0^{- 3})

simplify ln(3)(-1-1/2+1/8+3/4)+ln(2)(1-1/4-3/4)simplify

ln (3) (- 1 - \frac{1}{2} + \frac{1}{8} + \frac{3}{4}) + ln (2) (1 - \frac{1}{4} - \frac{3}{4})

Frequently Asked Questions (FAQ)

What is ln(7x)-ln(1) ?
The solution to ln(7x)-ln(1) is ln(x)+ln(7)