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Readme [11.4K]
3 years ago
10

Exponential Form

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
6. 1/3
8. -4
9. -3
10. 1/6
klio [65]3 years ago
5 0
Loga n=z  ⇔a^z=n

Therefore:
3)log 1/4  1=0    ⇔(1/4)⁰=1
4)log 1/2  32 -5  ⇔(1/2)⁻⁵=2⁵=32

6)
log 27  3=n  ⇔ 27^n=3 
27=3³
(3³)^n=3  ⇒n=1/3    (3³)¹/³=3³/³=3¹=3

Answer: log 27  3=1/3

7)
log1/4 256=n  ⇔(1/4)^n=256
256=2⁸=4⁴
(1/4)^n=4⁴  ⇒n=-4       [ (1/4)⁻⁴=4⁴=256  ]

Answer: log1/4 256=-4

9)
log 10  0.001=n  ⇔  10^n=0.001
0.001=10⁻³
10^n=10⁻³  ⇒n=-3

answer: log 10    0.001=-3

10)
log 64  2=n  ⇔64^n=2
64=2⁶
(2⁶)^n=2    ⇒2(⁶n)=2¹ ⇒  6n=1  ⇒  n=1/6

answer: log 64    2= 1/6

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X ²-12x+36=0 <br> x= ? <br> please help fast im doing a test <br> i will give brainleist
Luba_88 [7]

Answer x=6

(x-6)^2=0           using a^2-2ab+b^2=(a-b)^2, factor the expression

x-6=0 the only was an exponetiation can be 0 is when the base equals 0

move the constant to the right hand side and change its sign

ANSWER X=6

5 0
3 years ago
Read 2 more answers
3^2 • 3^-8 • 3^0<br> i need help with this asap
pantera1 [17]

Steps to solve:

3^2 • 3^-8 • 3^0

~Apple exponent rule [ a^b * a^c = a^b+c ]

3^2-8+0

~Simplify

3^-6

~Use exponent rule [ a^-b = 1/a^b ]

1/3^6

~Simplify

1/729

Best of Luck!

6 0
2 years ago
Read 2 more answers
0=x^2-4x+3 how many roots does this equation have
mars1129 [50]

Answer:

No complex roots; 3 real roots

Step-by-step explanation:

If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots.  In this particular case, the polynomial has three real roots, as can be determined by graphing the function.  The graph crosses the x-axis in 3 places.

5 0
3 years ago
A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and
goldenfox [79]

Answer:

Option D

Step-by-step explanation:

A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.

Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval?

We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.

4 0
3 years ago
Can someone please help me with my math problem?
elena-s [515]
The answer to Part A is 2 15/32
8 0
3 years ago
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