Mathmaster420 Mathmaster420
  • 02-09-2017
  • Mathematics
contestada

which logarithmic function can be used to approximate the value of y in the equation 4^y=5?

Respuesta :

WojtekR
WojtekR WojtekR
  • 02-09-2017
From the definition of logarithm, we know that:

[tex]$a^y=b\quad\iff\quad y=\log_ab\qquad\quad \,\text{when }a,b\ \textgreater \ 0\,\,\text{ and }\,\,a\neq1[/tex]

In this case [tex]a=4[/tex] and [tex]b=5[/tex] so:

[tex]$\boxed{y=\log_45}[/tex]
Answer Link

Otras preguntas

Mexico was known for having a stable, diverse economy during the 1800s. TRUE FALSE
Treas and gubernskaya (2012) found that, if adult children and their parents live apart, their relationship:
Maria works in a hardware store. A bin of aluminum nails and a bin of iron nails are knocked over, and the nails get mixed up. Both sets of nails are the same c
Find the sum of the following infinite geometric series, if it exists. 1.02 + 2.04 + 4.08 + 8.16 +… 20 Does not exist 22 24
find the surface area of each figure to the nearest tenth. show your work, please!
The following two-way table shows the number of students of a school who have a video game and/or have a laptop: Have Video Game Do Not Have Video Game Total Ha
Which is a sentence fragment?   A. Although they sang well.   B. He chuckled to himself.   C. Fresh water bubbled up from the spring.   D. On the
A grocery cart with a mass of 15 kg is pushed at constant speed along an aisle by a force fp = 12 n which acts at an angle of 17° below the horizontal. find the
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
Find the x and y intercepts