Question

30 Points !!
Do Yourself - 2
Full Exercise

Answer 1

1. ( a) log{ 43/30 base 1.43333333....)

43/30 = 1.433333333....
hence ,
we can write in log

log { 43/30 base 43/30} = 1

(b ) (1/2)^log(5 base 2)

= 2^-{ log(5 base 2 }

= 2^ { log5^-1 base 2 }

= 1/5

2) 4^log( 2x base 2 ) = 36

4 ^log ( 2x base 4^1/2 ) = 36

4^ { 2 log ( 2x base 4 ) } = 36

4^log(4x² base 4 ) = 36

4x² = 36

x= ±3
but for log to be defined x >0
so, x ≠ -3

x = 3 ( answer )

Answer 2

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$<marquee direction="left">$ Hope it helps