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Condensing Logarithmic Expression In Exercise,use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.See example 4.
3[In x + In(x + 3) - In(x + 4)]

Respuesta :

Answer:

[tex][ln(\frac{x(x + 3)}{(x + 4)}]^3[/tex]

Step-by-step explanation:

[tex]3[ln x + ln(x + 3) - ln(x + 4)][/tex]

ln m+ln n = lnmn

multiply the log terms when we have + inbetween

[tex]3[ln x(x + 3) - ln(x + 4)][/tex]

ln m - ln n = ln (m/n)

[tex]3[ln(\frac{x(x + 3)}{(x + 4)}][/tex]

m lnx=lnx^m (move 3 to the exponent)

[tex][ln(\frac{x(x + 3)}{(x + 4)}]^3[/tex]

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