Question

1. Determine the value of the following.
(ix) 2²+log base 2³​

Answer 1

Step-by-step explanation:

2^2 + log 3

2

First step is:

2^2= log 4

2

log 4 + log 3 ---------following the laws of indeces (we can directly 2 2 add the two using the first law)

first law states log x + log y = log xy

a a a

= log (4x3) = log 12

2 2

Formula 2: log x = log x/ log b

b a a

Hence we can convert our answer to log base 10(log)

log 12 = log 12/ log 2

2 = 3.58496

Therefore the value of the above equation= 3.5896