Answer:
a)Range = 9
Step-by-step explanation:
Biggest number + the smallest number
Lnx+lny=ln(xy)
lnx-lny=ln(x/y)
xlny=ln(y^x)
(2/3)(lnx+ln(x^3-2)-ln(x+4))=
(2/3)(ln((x)(x^3-2))-ln(x+4))=
(2/3)(
=
(
=
(
<span>Use the log properties: LogA+logB=log(A*B) and log(A/B)=logA-logB.
ALso NlogA=log(A^N).
So 2log4=log4^2=log 16.
2logx=logx^2. Then we have log16-log3+logx^2-4=0.
Bring the 4 to the other side:
log16-log3+logx^2=4 Combine using the properties into one log:
log(16/3)*x^2=4.
With log, the understood base is 10. log _(10) [ (16/3)*(x^2]=4 where_10 means base 10.
We know log_b M=N means b^N=M by the definition of log. We use that here and change log into an exponential equation:
10^4=(16/3)x^2
10000 *(3/16)=x^2
Taking the square root we have + or- 43.30127.
We only want the positive solution since we can only take the log of positive numbers.
Our answer rounded is 43.3013.</span>
Answer:
4550m ; 4
Step-by-step explanation:
Recall
1 hectometre = 100m
1 decameter = 10m
Distance from shore to center of island = 37hm
Another 85 decameter toward stge se direction
Therefore total metres it will travel in other to get to the treasure :
37 hectometre + 85 decameter
(37 * 100)m + (85 * 10)m
3700m + 850m = 4550m
In kilometers :
1000 meters = 1 kilometers
4550 meters =
(4550 / 1000)meters
= 4.55km
Answer:
x= 6
Step-by-step explanation:
Add 5 to both sides
Multiply both sides by 3
x² = 6*6
Take square root,
√x² =√6*6
x = 6