SOLUTION: Find the value of x. Show steps! log4 1024=x a) 1/5 b) -6 c) -1/5 d) 6 e) 5 f) -5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the value of x. Show steps! log4 1024=x a) 1/5 b) -6 c) -1/5 d) 6 e) 5 f) -5      Log On


   

Question 185437: Find the value of x. Show steps!
log4 1024=x
a) 1/5
b) -6
c) -1/5
d) 6
e) 5
f) -5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given equation.


... Rewrite the equation using the property


... Rewrite 4 as 2%5E2


... Rewrite 1024 as 2%5E10


... Multiply the exponents.


... Since the bases are equal, the exponents are equal.


... Divide both sides by 2 to isolate "x".


... Divide


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Answer:


So the solution is