1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
3 years ago
5

Changing Bases to Evaluate Logarithms In Exercise, use the change-of-base formula and a calculator to evaluate the logarithm.

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

\frac{3}{2}

Step-by-step explanation:

Changing Bases to Evaluate Logarithms

log_{16}(64)

Apply change of base formula'

log_b(a)= \frac{log a}{log b}

log term should be the numerator and denominator is the log base

log_{16}(64)

log_{16}(a)= \frac{log 64}{log 16}

64 is 4^3  and 16 is 4^2

log_{16}(a)= \frac{log 4^3}{log 4^2}

Move the exponent before log

\frac{3log 4}{2log 4}

top and bottom has same log so cancel it out

\frac{3}{2}

You might be interested in
Select the correct answer.
Elina [12.6K]

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

<h3>Expanded form</h3>

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

5 0
1 year ago
Round 4,317 to the nearest ten
Dafna11 [192]

Answer:

4,320

Step-by-step explanation:

7 is closer to 10 then 0. 4,310 + 10 = 4,320

3 0
3 years ago
The expression below represents Julias annual salary after tyears interpret the meaning of the expression 25,000(1.04) interpret
LuckyWell [14K]
Given that the expression for Julia's salary after t years is given by:
25000(1.04)^t
This can be interpreted as follows:
Initial salary is $25000
growth rate is 0.04=4%
thus the correct answer is:
<span>D salary is 25,000 growth rate is 4% per yr</span>
8 0
3 years ago
If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?
STatiana [176]

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

8 0
3 years ago
Find the shaded area in the figure below. Then, explain the steps you used to find the area
Korolek [52]

Answer:

650.

Step-by-step explanation:

ok so first multiply the Length and the width of the rectangle together to get its area, which is 500.

to find the area of the triangle, just multiple the length times the width (15 x 20) and divide it by two. You should get 150.

Add 150 and 500 together, and that's your total area:

650.

Have a nice day dude

4 0
3 years ago
Other questions:
  • Consider these four line graphs representing speed in meters/second, where each X-axis is labelled in seconds and each Y-axis is
    15·2 answers
  • Use properties of addition to find 37 + 58 mentally.
    7·2 answers
  • I will mark brainliest, Please answer d). How do I do this question and what is the answer.
    7·2 answers
  • You should multiply by 4 before adding 16 to solve the inequality 11 &gt; - 16.<br><br> True False
    12·1 answer
  • Simplify. (3x7z2)4 A. 81x11z6 B. 81x28z8 C. 81x3z2 D. 12x28z8
    14·1 answer
  • 6 men and 8 women are going to be assigned to a specific row of seats in a theater. If the 14 tickets for the numbered seats are
    10·1 answer
  • What is the answer to this question below guys.
    5·1 answer
  • Find the sixth term of the geometric sequence<br> 9, 18, 36, ...
    6·1 answer
  • 5y + 3 = 8y − 5 + 2y
    13·2 answers
  • Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 pa
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!