To solve the give logarithm we proceed as follows;
log7(3x^3+x)-log7(x)=2
this can be written as:
log7[(3x^3+x)/(x)]=2
but;
log7(49)=2
thus;
log7(3x^3+x)/x=log7(49)
hence canceling log7 we get:
(3x^3+x)/x=49
This can be simplified further to get:
3x^2+1=49
3x^2=49-1
3x^2=48
x^2=48/3
x^2=16
getting the square root of both sides we get:
x=4
the answer is x=4
Answer:
x = 13
Step-by-step explanation:
500(x - 3) = 50000 ( divide both sides by 500 )
x - 3 = 10 ( add 3 to both sides )
x = 13
The answer is 0,1,4,34,123
Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5
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Work Shown:
AE = 2*(BD)
4x+8 = 2*(4x+3)
4x+8 = 8x+6
8-6 = 8x-4x
2 = 4x
4x = 2
x = 2/4
x = 1/2
x = 0.5
note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.
another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.
