Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousandth.

Answers

Answer 1
Answer:

Answer:

\log_358\approx 3.696

\Rightarrow (\log_458)/(\log_43)

Step-by-step explanation:

Given: \log_358

We need to re-write the log expression with base 4 using base change property of log.

Log property:

\log_ab=(\log_cb)/(\log_ca)

Evaluate:

\Rightarrow \log_358

\Rightarrow (\log58)/(\log3)

\Rightarrow (1.763427)/(0.47712)\approx 3.696

Convert with base 4:

\Rightarrow \log_358

\Rightarrow (\log_458)/(\log_43)

Answer 2
Answer: Hello,

log_3(58)= (ln(58))/(ln(3))=3,69597450... \n log_3(58)=log_4(x)\n (ln(58))/(ln(3)) = (ln(x))/(4)==\textgreater\ x=e^{ (ln(58)*ln(4))/(ln(3))}\n =167,957104437222249066099...

≈167.96

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If f(x)=x*−81 and g(x)=(x−9)−1(x+9), find g(x)×f(x).

Answers

f(x) = x²-81

g(x) = (x-9) -1(x+9)

= (x-9) -x-9


g(x) • f(x)



= [x²-81 ] • [ (x-9) -x-9 ]

=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]

= -18•x² +-81•-18
= -18x²+1458

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Answers

The true statement about the juan and lisa is Juan made a higher rate of pay than Lisa.

Juan made a lower rate of pay because he made less money.

This statement is false. Juan and Lisa made a similar rate of pay per hour ($14.80 and $14.00 respectively).

Lisa made a better rate of pay because she made more money.

This statement is false. The total earnings do not determine the rate of pay; the hourly rate does.

Lisa said she made a better rate of pay because her rate was $14 an hour.

This statement is false. Lisa's actual rate was $14.00 per hour, not $14.00 as stated.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

This statement is true. Juan's hourly rate was $14.80, which is higher than Lisa's rate of $14.00 per hour.

To calculate the rate of pay, we divide the money earned by the hours worked.

Juan's rate of pay is $37.00 / 2.5 hours = $14.80 per hour.

Lisa's rate of pay is $42.00 / 3 hours = $14.00 per hour.

Therefore, Juan made a higher rate of pay than Lisa.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

For such more question on rate

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The following question may be like this:

Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

Lisa said she made a better rate of pay because her rate was $14 an hour.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Answer:

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Lisa said she made a better rate of pay because her rate was $14 an hour.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

2x+3y=3 and 3x-2y=11 what is the solution to the system

Answers

2x + 3y = 3
3x - 2y  = 11

( 2x + 3y = 3 )  *3
6x + 9y  = 9

( 3x - 2y  = 11 ) * 2
6x - 4y  = 22

subtract those two equations
13y  =  -13
y  = -1
x  = 3

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Answers

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What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?Choose one answer.
a. x – 8 = 2(y – 6)
b. y – 8 = 2(x – 6)
c. y + 8 = –2(x – 6)
d. y – 8 = –2(x – 6)

Answers

y-y1= m(x1-x2)
using this formula
the answer is d
because slope has to remain the same if its parallel