Logarithms and exponentials

Question 1

3 laws of logs

Answer 1

LOGaX + LOGaY= LOGa(XY)
k LOGaX = LOGa(x^k)
LOGaX - LOGaY= LOGa (X/Y)

Question 2

why is ‘ln e’ equal to 1

Answer 2

ln means LOGeE
and the result of LOGeE= 1
and raising anything to a power and getting the same result means that the power was equal to 1

Question 3

how to find X in LOG3,X=4

Answer 3

you do 3^4

Question 4

how to find X in LOGX,32=5

Answer 4

Find what what you need to put to the power of 5 to achieve 32
2^5=32

Question 5

how to find X in LOG9,27=X

Answer 5

CONVERT TO a^x=N
9^X=27--> FIND COMMON FACTOR
(3^2X)= (3^3)
THERE FORE 2X=3 AND 
X=3/2