So...
And 2 of the log rules are:
and
So...
I am studying for an end of year exam and I completely forgot everything about logs and log functions (except for the extreme basics) so can someone tell me why the answer is D by showing me all the steps?
Any help would be greatly appreciated!
Thanks in advance!
log( x*y ) = log(x) + log(y)
log( x/y ) = log(x) - log(y)
log( x^n ) = n*log(x)
n*log(x) = log( x^n )
so...
log( 3*(a^10) / b^3 ) = log( 3*( a^10 ) ) - log( b^3 ) =
= log( 3 ) + log( a ^10 ) - 3 log( b ) =
= 2*( 1 / 2 )*log( 3 ) + 10log( a ) - 3log( b ) =
= (1/2)*log( 3^2 ) + 10log( a ) - 3log( b ) =
= (1/2)*log( 9 ) + 10log( a ) - 3log( b )