Solve the logarithmic equation Log 5x log 4 log x 4 Find

Solve the logarithmic equation. Log 5x = log 4 + log (x + 4) Find the zeros of the polynomial function and state the multiplicity of each. f(x) = x^4 - 12x^2 + 27 Given that tan theta = 12/5, pi

Solution

(5) log 5x = log 4 + log (x + 4 )

log 5x = log(4 (x+4) )

5x = 4x + 16

x = 16

( 7 ) tan (theta) = 12 / 5

sin( theta ) / cos( theta ) = 12 / 5

opposite side = 12 and adjacent side = 5

hypotnuese = sqrt( 12^2 + 5^2 ) =13

sin ( theta ) = 12 / 13

cos ( theta ) = 5 / 13

sin2 (theta ) = 2 sin( theta ) cos ( theta )

==> 2 ( 12 / 13 ) ( 5 / 13 )

==> 120 / 169