Write each expression as sum/difference of multiples of logarthms. Simplify comepletly.

Question

A.  ln(x^2+x)

 

B. Log(100/y^3z^4)

Answer 1

A . ln(x²+x)

 

=ln(x(x +1))

 

=ln x + ln(x+1)

 

 

B. Log(100/y³z⁴)

 

=Log 100 - Log (y³z⁴)

 

=Log 100 -(Log y³ + Log z⁴ )

 

=Log 100 -(3 Log y + 4 Log z)

 

=Log 100   - 3 Log y -4 Log z

 

=2 -3 Log y -4 log Z

 

 

 

 

Answer 2

A. ln(x²+x)

  = ln(x (x+1))

  = ln(x) * ln (x+1)

 

B. Log(100/y³z⁴)

  = Log(100) - Log(y³) - Log(z⁴)

  = 2 - 3Log(y) - 4Log(z)