Question

Answers and the work for them please

Answer 1

1) log2(x - 2) , when x = 10

log2 (10 - 2)

= log2 (8)

now we know that,

loga (b) = log b/ log a

so, = log 8/ log 2

= log (2)³/ log 2

we also know, log (a)^b = b log (a)

so,

= 3 log 2/ log 2 = 3

2) 6 r^t + 63 , when r = 4 and t = 2

so putting values,

6(4)² + 63

= 6(16) + 63

= 96 + 63 = 159

3) log25 (x) , when x = 5

log25 (5)

= log 5/ log 25

= log 5 / log (5)²

= log 5/ 2 log 5

= 1/5

Hope it helps...