SOLUTION: Show that log(8- base) 1000 = log (2- base) 10 algebraically.

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Question 421618: Show that log(8- base) 1000 = log (2- base) 10 algebraically.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Show that log(8- base) 1000 = log (2- base) 10 algebraically.
..
log8(1000)=x
log2(10)=x
convert both equations to exponential form. The base raised to the logarithm of the number is equal to the number.
8^x=1000
(2^3)^x=1000
2^3x=1000
..
2^x=10
cube both sides
(2^x)^3=10^3
2^3x=1000
ans: equations therefore are algebraically equal to each other.