SOLUTION: Solve log4(8) the 4 is under log like log to the x.. the choices are.. a. 2 b.-2 c.3/2 d.3

Algebra ->  Equations -> SOLUTION: Solve log4(8) the 4 is under log like log to the x.. the choices are.. a. 2 b.-2 c.3/2 d.3       Log On


   

Question 191661: Solve log4(8)
the 4 is under log like log to the x.. the choices are..
a. 2
b.-2
c.3/2
d.3
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
c)3/2......or 1.5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C%288%29%29 Start with the given expression


y=log%284%2C%288%29%29 Set the given expression equal to some variable (I chose "y")


4%5Ey=8 Rewrite the logarithmic equation into exponential form


%282%5E2%29%5Ey=2%5E3 Rewrite 4 as 2%5E2 and 8 as 2%5E3


2%5E%282y%29=2%5E3 Multiply the exponents.


2y=3 Since the bases are equal, this means that the exponents are equal.


y=3%2F2 Divide both sides by 2 to isolate "y"


So the solution is y=3%2F2 which means that log%284%2C%288%29%29=3%2F2 (since we let y=log%284%2C%288%29%29)