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3 years ago

Express ln 32 - ln 8 as a single natural logarithm

2 answers:

8 0

$\bf \textit{Logarithm of rationals}
\\\\
log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\
-------------------------------\\\\
ln(32)-ln(8)\implies ln\left( \frac{32}{8} \right)\implies ln(4)$

podryga [215]3 years ago

8 0

Answer:

its ln 4, A

Step-by-step explanation:

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Please help me with this problem

oksian1 [2.3K]

Diagonal = SQRT(8^2 + 12^2 + 30^2)

Diagonal = SQRT(64 + 144 + 900)

Diagonal = SQRT(1108)

Diagonal = 33.3 feet

5 0

3 years ago

Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

Could i get help? pleaseeee

My name is Ann [436]

Answer:

A for me beacause i understand quite

Step-by-step explanation:

Hope it helps good day

4 0

2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!

Diano4ka-milaya [45]

The right answer is B.

5 0

2 years ago

The variable a varies inversely with b. The value of a is 2 when b = 40. Find the constant of variation (k). I will give brainli

Zinaida [17]

Answer:

1=20

Step-by-step explanation:

40 divided by 2 is 20 so

1=20

4 0

2 years ago