simplify ln(7e^x)

Solution

simplify

ln (7 e^{x})

ln (7) + x

Solution steps

ln (7 e^{x})

Apply log rule:

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

ln (7 e^{x}) = ln (7) + ln (e^{x})

= ln (7) + ln (e^{x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (7) + x ln (e)

x ln (e) = x

= ln (7) + x

lo g_{7} (32) - lo g_{7} (8)

ln (x) - ln (5)

lo g_{10} (\frac{R ^{5} S ^{4}}{Z ^{6}})

ln (\frac{1}{x + 1})

ln (x) - ln (x - 1)