Express the following in the form lgy=mX+c,
where m and c are constants and X is a function of x.
Determine the constants m and c and the function X.

y=100x^1.5

okay i really can't get my head around this problem ugh

Question

Express the following in the form lgy=mX+c, 
where m and c are constants and X is a function of x. 
Determine the constants m and c and the function X.

y=100x^1.5

okay i really can't get my head around this problem ugh

paxpolaris · Answer

$$\log(ab)=\log(a)+\log(b)$$$$\log(m^n)=n \cdot \log(m)$$

paxpolaris · Answer

$$\Large y=100x^{1.5}$$

$$\Large \implies \log(y) =\log \left( 100x^{1.5} \right)$$

paxpolaris · Answer

then apply the rules

anonymous · Answer

ohhhhhh

lgy=100+lgx^1.5
lgy=lg100+1.5lgx
lgy=1.5X+2

paxpolaris · Answer

$$\checkmark$$