MichiR290650 MichiR290650
  • 03-11-2022
  • Mathematics
contestada

State the solution in terms of x 4^x+6 = 20

State the solution in terms of x 4x6 20 class=

Respuesta :

KerryT34034 KerryT34034
  • 03-11-2022

We have the question as

[tex]4^{x+6}=20[/tex]

Let us introduce logarithms to base 4 to both sides of the equation:

[tex]\log _44^{x+6}=\log _420[/tex]

Applying the law of logarithm that states

[tex]\log A^B=B\log A[/tex]

we have

[tex](x+6)\log _44=\log _420[/tex]

Applying the law that states

[tex]\log _nn=1[/tex]

we have

[tex]\begin{gathered} (x+6)\times1=\log _420 \\ x+6=\log _420 \end{gathered}[/tex]

Collecting like terms, we have

[tex]x=-6+\log _420[/tex]

Therefore, the answer is OPTION C.

Answer Link

Otras preguntas

Which activity is the best choice for a lifelong fitness program?
30 TENS MINUS 3 TENS 3 TENTHS
which of the following is not true regarding work now and in the future? a. academics will not be important. b. high-level academics will be required. c. applie
Write the fraction 17/7 as a repeating decimal.
How to convert 2/3 to a decimal?
It has been David's dream to go to college ever since he can remember. One of the ways he relieves the stress of writing essays and taking exams is by playing o
What are 3 common factors of 6690 and 9900?
Suppose n represents an even number for a simplified expression that represents the product of the next two even numbers
Solve. 4 – d < 4 + d A.) d > –8 B.) d > –4 C.) d > 0 D.) d > 8
with actress rose to fame in e.t? kristen bell, tatum o`neil, drew barrymore?